299010
The angle which makes a linear pair with an angle of 61°, is of:
1 29°
2 61°
3 122°
4 119°
Explanation:
61° Let the required angle be x°. It is given that x° makes a linear pair with 61° \(\therefore\) x + 61° = 180° [\(\therefore\)sum of angles forming linear pair is 180°] x = 180° - 61° = 199°
LINES AND ANGLES
299011
Two angles are supplementary, if one of them is 49°. Find the other angle?
1 139°
2 131°
3 141°
4 135°
Explanation:
131° Since, two angles are supplementary their sum is 180° \(\angle1+\angle2=180^\circ\) \(49^\circ+\angle2=180^\circ\) (As one of the angle is 49° \(\angle2=180^\circ-49^\circ\) \(=131^\circ\)
LINES AND ANGLES
299012
In which of the following figures, a and b are forming a pair of adjacent angles?
1
2
3
4
Explanation:
Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. \(\therefore\) In option (d), a and b form a pair of adjacent angles.
LINES AND ANGLES
299013
In Fig. if AB, CD and EF are straight lines, then x + y + z =
1 180
2 203
3 213
4 134
Explanation:
203 \(\angle \text{BAE}+\angle \text{BAD}+\angle \text{BAF}=180^\circ\) [EAF is a straight line] \(\Rightarrow 3\text{x}^\circ+49^\circ+62^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ+111^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ=69^\circ\) \(\Rightarrow 3\text{x}=69\) \(\Rightarrow \text{x}=23\) Now, \(\angle \text{CAF}+\angle \text{CAF}=180^\circ\) [\(\because\) EAF is a straight line] \(\Rightarrow \text{z}^\circ+\text{y}^\circ=180^\circ\) \(\Rightarrow \text{z}+\text{y}=180\) Now, x + y + z = 23 + 180 = 203 Hence, the correct answer is option(b).
LINES AND ANGLES
299014
The measure of an angle which is 5 times its supplement is:
1 30°
2 60°
3 120°
4 150°
Explanation:
150° Let x and y be supplementary angles x + y = 180° Let x be an angle which is 5 times its supplement x = 5y But y = 180° - x ....... From (i) x = 5 (180° - x) x = 5 × 180° - 5x 6x = 5 × 180° x = 5 × 30° = 150° Hence, x = 150°
299010
The angle which makes a linear pair with an angle of 61°, is of:
1 29°
2 61°
3 122°
4 119°
Explanation:
61° Let the required angle be x°. It is given that x° makes a linear pair with 61° \(\therefore\) x + 61° = 180° [\(\therefore\)sum of angles forming linear pair is 180°] x = 180° - 61° = 199°
LINES AND ANGLES
299011
Two angles are supplementary, if one of them is 49°. Find the other angle?
1 139°
2 131°
3 141°
4 135°
Explanation:
131° Since, two angles are supplementary their sum is 180° \(\angle1+\angle2=180^\circ\) \(49^\circ+\angle2=180^\circ\) (As one of the angle is 49° \(\angle2=180^\circ-49^\circ\) \(=131^\circ\)
LINES AND ANGLES
299012
In which of the following figures, a and b are forming a pair of adjacent angles?
1
2
3
4
Explanation:
Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. \(\therefore\) In option (d), a and b form a pair of adjacent angles.
LINES AND ANGLES
299013
In Fig. if AB, CD and EF are straight lines, then x + y + z =
1 180
2 203
3 213
4 134
Explanation:
203 \(\angle \text{BAE}+\angle \text{BAD}+\angle \text{BAF}=180^\circ\) [EAF is a straight line] \(\Rightarrow 3\text{x}^\circ+49^\circ+62^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ+111^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ=69^\circ\) \(\Rightarrow 3\text{x}=69\) \(\Rightarrow \text{x}=23\) Now, \(\angle \text{CAF}+\angle \text{CAF}=180^\circ\) [\(\because\) EAF is a straight line] \(\Rightarrow \text{z}^\circ+\text{y}^\circ=180^\circ\) \(\Rightarrow \text{z}+\text{y}=180\) Now, x + y + z = 23 + 180 = 203 Hence, the correct answer is option(b).
LINES AND ANGLES
299014
The measure of an angle which is 5 times its supplement is:
1 30°
2 60°
3 120°
4 150°
Explanation:
150° Let x and y be supplementary angles x + y = 180° Let x be an angle which is 5 times its supplement x = 5y But y = 180° - x ....... From (i) x = 5 (180° - x) x = 5 × 180° - 5x 6x = 5 × 180° x = 5 × 30° = 150° Hence, x = 150°
299010
The angle which makes a linear pair with an angle of 61°, is of:
1 29°
2 61°
3 122°
4 119°
Explanation:
61° Let the required angle be x°. It is given that x° makes a linear pair with 61° \(\therefore\) x + 61° = 180° [\(\therefore\)sum of angles forming linear pair is 180°] x = 180° - 61° = 199°
LINES AND ANGLES
299011
Two angles are supplementary, if one of them is 49°. Find the other angle?
1 139°
2 131°
3 141°
4 135°
Explanation:
131° Since, two angles are supplementary their sum is 180° \(\angle1+\angle2=180^\circ\) \(49^\circ+\angle2=180^\circ\) (As one of the angle is 49° \(\angle2=180^\circ-49^\circ\) \(=131^\circ\)
LINES AND ANGLES
299012
In which of the following figures, a and b are forming a pair of adjacent angles?
1
2
3
4
Explanation:
Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. \(\therefore\) In option (d), a and b form a pair of adjacent angles.
LINES AND ANGLES
299013
In Fig. if AB, CD and EF are straight lines, then x + y + z =
1 180
2 203
3 213
4 134
Explanation:
203 \(\angle \text{BAE}+\angle \text{BAD}+\angle \text{BAF}=180^\circ\) [EAF is a straight line] \(\Rightarrow 3\text{x}^\circ+49^\circ+62^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ+111^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ=69^\circ\) \(\Rightarrow 3\text{x}=69\) \(\Rightarrow \text{x}=23\) Now, \(\angle \text{CAF}+\angle \text{CAF}=180^\circ\) [\(\because\) EAF is a straight line] \(\Rightarrow \text{z}^\circ+\text{y}^\circ=180^\circ\) \(\Rightarrow \text{z}+\text{y}=180\) Now, x + y + z = 23 + 180 = 203 Hence, the correct answer is option(b).
LINES AND ANGLES
299014
The measure of an angle which is 5 times its supplement is:
1 30°
2 60°
3 120°
4 150°
Explanation:
150° Let x and y be supplementary angles x + y = 180° Let x be an angle which is 5 times its supplement x = 5y But y = 180° - x ....... From (i) x = 5 (180° - x) x = 5 × 180° - 5x 6x = 5 × 180° x = 5 × 30° = 150° Hence, x = 150°
299010
The angle which makes a linear pair with an angle of 61°, is of:
1 29°
2 61°
3 122°
4 119°
Explanation:
61° Let the required angle be x°. It is given that x° makes a linear pair with 61° \(\therefore\) x + 61° = 180° [\(\therefore\)sum of angles forming linear pair is 180°] x = 180° - 61° = 199°
LINES AND ANGLES
299011
Two angles are supplementary, if one of them is 49°. Find the other angle?
1 139°
2 131°
3 141°
4 135°
Explanation:
131° Since, two angles are supplementary their sum is 180° \(\angle1+\angle2=180^\circ\) \(49^\circ+\angle2=180^\circ\) (As one of the angle is 49° \(\angle2=180^\circ-49^\circ\) \(=131^\circ\)
LINES AND ANGLES
299012
In which of the following figures, a and b are forming a pair of adjacent angles?
1
2
3
4
Explanation:
Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. \(\therefore\) In option (d), a and b form a pair of adjacent angles.
LINES AND ANGLES
299013
In Fig. if AB, CD and EF are straight lines, then x + y + z =
1 180
2 203
3 213
4 134
Explanation:
203 \(\angle \text{BAE}+\angle \text{BAD}+\angle \text{BAF}=180^\circ\) [EAF is a straight line] \(\Rightarrow 3\text{x}^\circ+49^\circ+62^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ+111^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ=69^\circ\) \(\Rightarrow 3\text{x}=69\) \(\Rightarrow \text{x}=23\) Now, \(\angle \text{CAF}+\angle \text{CAF}=180^\circ\) [\(\because\) EAF is a straight line] \(\Rightarrow \text{z}^\circ+\text{y}^\circ=180^\circ\) \(\Rightarrow \text{z}+\text{y}=180\) Now, x + y + z = 23 + 180 = 203 Hence, the correct answer is option(b).
LINES AND ANGLES
299014
The measure of an angle which is 5 times its supplement is:
1 30°
2 60°
3 120°
4 150°
Explanation:
150° Let x and y be supplementary angles x + y = 180° Let x be an angle which is 5 times its supplement x = 5y But y = 180° - x ....... From (i) x = 5 (180° - x) x = 5 × 180° - 5x 6x = 5 × 180° x = 5 × 30° = 150° Hence, x = 150°
299010
The angle which makes a linear pair with an angle of 61°, is of:
1 29°
2 61°
3 122°
4 119°
Explanation:
61° Let the required angle be x°. It is given that x° makes a linear pair with 61° \(\therefore\) x + 61° = 180° [\(\therefore\)sum of angles forming linear pair is 180°] x = 180° - 61° = 199°
LINES AND ANGLES
299011
Two angles are supplementary, if one of them is 49°. Find the other angle?
1 139°
2 131°
3 141°
4 135°
Explanation:
131° Since, two angles are supplementary their sum is 180° \(\angle1+\angle2=180^\circ\) \(49^\circ+\angle2=180^\circ\) (As one of the angle is 49° \(\angle2=180^\circ-49^\circ\) \(=131^\circ\)
LINES AND ANGLES
299012
In which of the following figures, a and b are forming a pair of adjacent angles?
1
2
3
4
Explanation:
Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. \(\therefore\) In option (d), a and b form a pair of adjacent angles.
LINES AND ANGLES
299013
In Fig. if AB, CD and EF are straight lines, then x + y + z =
1 180
2 203
3 213
4 134
Explanation:
203 \(\angle \text{BAE}+\angle \text{BAD}+\angle \text{BAF}=180^\circ\) [EAF is a straight line] \(\Rightarrow 3\text{x}^\circ+49^\circ+62^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ+111^\circ=180^\circ\) \(\Rightarrow 3\text{x}^\circ=69^\circ\) \(\Rightarrow 3\text{x}=69\) \(\Rightarrow \text{x}=23\) Now, \(\angle \text{CAF}+\angle \text{CAF}=180^\circ\) [\(\because\) EAF is a straight line] \(\Rightarrow \text{z}^\circ+\text{y}^\circ=180^\circ\) \(\Rightarrow \text{z}+\text{y}=180\) Now, x + y + z = 23 + 180 = 203 Hence, the correct answer is option(b).
LINES AND ANGLES
299014
The measure of an angle which is 5 times its supplement is:
1 30°
2 60°
3 120°
4 150°
Explanation:
150° Let x and y be supplementary angles x + y = 180° Let x be an angle which is 5 times its supplement x = 5y But y = 180° - x ....... From (i) x = 5 (180° - x) x = 5 × 180° - 5x 6x = 5 × 180° x = 5 × 30° = 150° Hence, x = 150°
