QBManager

PRACTICAL GEOMETRY

297689 Which of the following cannot be the measures of a triangle?

1 9cm, 6cm, 5cm

2 7cm, 7cm, 5cm

3 13cm, 7cm, 6cm

4 9.5cm, 8cm, 7cm

PRACTICAL GEOMETRY

297592 Mark $(✓)$ against the correct answer.
In the given figure, AOB is a straight line and the ray OC stands on it. If $∠ BOC = 132^{\circ}$ , then $∠ AOC = ?$

1 68°

2 48°

3 42°

4 None of these.

Explanation:

48°
In the figure $∠ BOC = 132^{\circ}$
But $∠ AOC + ∠ BOC = 180^{\circ}$ (Linear pair)
$\Rightarrow ∠ AOC + 132^{\circ} = 180^{\circ}$
$\Rightarrow ∠ AOC = 180^{\circ} - 132^{\circ} = 48^{\circ}$

PRACTICAL GEOMETRY

297593 Mark $(✓)$ against the correct answer.
In a $△ ABC,$ if $2 ∠ A = 3 ∠ B = 6 ∠ C,$ then $∠ B = ?$

1 30°

2 90°

3 60°

4 45°

Explanation:

60°
In $△ ABC,$
Let $2 ∠ A = 3 ∠ B = 6 ∠ C = x$
$∴ ∠ A = \frac{1}{2} x, ∠ B = \frac{1}{3} x, ∠ C = \frac{1}{6} x$
$∴$ Ratio in A, B and C $= \frac{1}{2} : \frac{1}{3} : \frac{1}{6}$
$= \frac{3 : 2 : 1}{6}$
Put $∠ A + ∠ B + ∠ C = 180^{\circ}$
(Angles of a triangle)
$∴ ∠ B = \frac{180^{\circ} \times 2}{3 + 2 + 1} = \frac{180^{\circ} \times 2}{6} = 60^{\circ}$

PRACTICAL GEOMETRY

297595 Mark $(✓)$ against the correct answer.
Two supplementary angles are in the ratio 3 : 2. The smaller angle measures:

1 108°

2 81°

3 72°

4 None of these.

PRACTICAL GEOMETRY

297689 Which of the following cannot be the measures of a triangle?

1 9cm, 6cm, 5cm

2 7cm, 7cm, 5cm

3 13cm, 7cm, 6cm

4 9.5cm, 8cm, 7cm

PRACTICAL GEOMETRY

297592 Mark $(✓)$ against the correct answer.
In the given figure, AOB is a straight line and the ray OC stands on it. If $∠ BOC = 132^{\circ}$ , then $∠ AOC = ?$

1 68°

2 48°

3 42°

4 None of these.

Explanation:

48°
In the figure $∠ BOC = 132^{\circ}$
But $∠ AOC + ∠ BOC = 180^{\circ}$ (Linear pair)
$\Rightarrow ∠ AOC + 132^{\circ} = 180^{\circ}$
$\Rightarrow ∠ AOC = 180^{\circ} - 132^{\circ} = 48^{\circ}$

PRACTICAL GEOMETRY

297593 Mark $(✓)$ against the correct answer.
In a $△ ABC,$ if $2 ∠ A = 3 ∠ B = 6 ∠ C,$ then $∠ B = ?$

1 30°

2 90°

3 60°

4 45°

Explanation:

60°
In $△ ABC,$
Let $2 ∠ A = 3 ∠ B = 6 ∠ C = x$
$∴ ∠ A = \frac{1}{2} x, ∠ B = \frac{1}{3} x, ∠ C = \frac{1}{6} x$
$∴$ Ratio in A, B and C $= \frac{1}{2} : \frac{1}{3} : \frac{1}{6}$
$= \frac{3 : 2 : 1}{6}$
Put $∠ A + ∠ B + ∠ C = 180^{\circ}$
(Angles of a triangle)
$∴ ∠ B = \frac{180^{\circ} \times 2}{3 + 2 + 1} = \frac{180^{\circ} \times 2}{6} = 60^{\circ}$

PRACTICAL GEOMETRY

297595 Mark $(✓)$ against the correct answer.
Two supplementary angles are in the ratio 3 : 2. The smaller angle measures:

1 108°

2 81°

3 72°

4 None of these.

PRACTICAL GEOMETRY

297689 Which of the following cannot be the measures of a triangle?

1 9cm, 6cm, 5cm

2 7cm, 7cm, 5cm

3 13cm, 7cm, 6cm

4 9.5cm, 8cm, 7cm

PRACTICAL GEOMETRY

297592 Mark $(✓)$ against the correct answer.
In the given figure, AOB is a straight line and the ray OC stands on it. If $∠ BOC = 132^{\circ}$ , then $∠ AOC = ?$

1 68°

2 48°

3 42°

4 None of these.

Explanation:

48°
In the figure $∠ BOC = 132^{\circ}$
But $∠ AOC + ∠ BOC = 180^{\circ}$ (Linear pair)
$\Rightarrow ∠ AOC + 132^{\circ} = 180^{\circ}$
$\Rightarrow ∠ AOC = 180^{\circ} - 132^{\circ} = 48^{\circ}$

PRACTICAL GEOMETRY

297593 Mark $(✓)$ against the correct answer.
In a $△ ABC,$ if $2 ∠ A = 3 ∠ B = 6 ∠ C,$ then $∠ B = ?$

1 30°

2 90°

3 60°

4 45°

Explanation:

60°
In $△ ABC,$
Let $2 ∠ A = 3 ∠ B = 6 ∠ C = x$
$∴ ∠ A = \frac{1}{2} x, ∠ B = \frac{1}{3} x, ∠ C = \frac{1}{6} x$
$∴$ Ratio in A, B and C $= \frac{1}{2} : \frac{1}{3} : \frac{1}{6}$
$= \frac{3 : 2 : 1}{6}$
Put $∠ A + ∠ B + ∠ C = 180^{\circ}$
(Angles of a triangle)
$∴ ∠ B = \frac{180^{\circ} \times 2}{3 + 2 + 1} = \frac{180^{\circ} \times 2}{6} = 60^{\circ}$

PRACTICAL GEOMETRY

297595 Mark $(✓)$ against the correct answer.
Two supplementary angles are in the ratio 3 : 2. The smaller angle measures:

1 108°

2 81°

3 72°

4 None of these.

PRACTICAL GEOMETRY

297689 Which of the following cannot be the measures of a triangle?

1 9cm, 6cm, 5cm

2 7cm, 7cm, 5cm

3 13cm, 7cm, 6cm

4 9.5cm, 8cm, 7cm

PRACTICAL GEOMETRY

297592 Mark $(✓)$ against the correct answer.
In the given figure, AOB is a straight line and the ray OC stands on it. If $∠ BOC = 132^{\circ}$ , then $∠ AOC = ?$

1 68°

2 48°

3 42°

4 None of these.

Explanation:

48°
In the figure $∠ BOC = 132^{\circ}$
But $∠ AOC + ∠ BOC = 180^{\circ}$ (Linear pair)
$\Rightarrow ∠ AOC + 132^{\circ} = 180^{\circ}$
$\Rightarrow ∠ AOC = 180^{\circ} - 132^{\circ} = 48^{\circ}$

PRACTICAL GEOMETRY

297593 Mark $(✓)$ against the correct answer.
In a $△ ABC,$ if $2 ∠ A = 3 ∠ B = 6 ∠ C,$ then $∠ B = ?$

1 30°

2 90°

3 60°

4 45°

Explanation:

60°
In $△ ABC,$
Let $2 ∠ A = 3 ∠ B = 6 ∠ C = x$
$∴ ∠ A = \frac{1}{2} x, ∠ B = \frac{1}{3} x, ∠ C = \frac{1}{6} x$
$∴$ Ratio in A, B and C $= \frac{1}{2} : \frac{1}{3} : \frac{1}{6}$
$= \frac{3 : 2 : 1}{6}$
Put $∠ A + ∠ B + ∠ C = 180^{\circ}$
(Angles of a triangle)
$∴ ∠ B = \frac{180^{\circ} \times 2}{3 + 2 + 1} = \frac{180^{\circ} \times 2}{6} = 60^{\circ}$

PRACTICAL GEOMETRY

297595 Mark $(✓)$ against the correct answer.
Two supplementary angles are in the ratio 3 : 2. The smaller angle measures:

1 108°

2 81°

3 72°

4 None of these.

Question Bank Series

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Question Bank Series

Explanation:

Explanation:

Explanation:

Explanation: