An angle is double of its supplement. The measure of the angle is
(a) 60°
(b) 120°
(c) 40°
(d) 80°

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Solution

Let the required angle be x.
Now, supplementary of the required angle = 180^∘− x
Then,
$x = 2 (180 ° - x) \Rightarrow x = 360 ° - 2 x \Rightarrow 3 x = 360 ° \Rightarrow x = 120 °$
Hence, the correct answer is option (b).

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Question 34

If an angle is $60^{\circ}$ less than two times of its supplement, then the greater angle is
(a) $100^{\circ}$
(b) $80^{\circ}$
(c) $60^{\circ}$
(d) $120^{\circ}$

Choose the correct option:

The measure of an angle which is 5 times its supplement is ___________

A. 30°

B. 60°

C. 120°

D. 150°

Q. The sum of an angle and half of its complementary angle is 75°. The measure of the angle is
(a) 40°
(b) 50°
(c) 60°
(d) 80°

Q. The supplement of an angle is six times its complement. The measure of this angle is
(a) 36°
(b) 54°
(c) 60°
(d) 72°

The sum of an angle and one third of its supplementary angle is $90^{\circ}$ . The measure of the angle is
(a) $135^{\circ}$
(b) $120^{\circ}$
(c) $60^{\circ}$
(d) $45^{\circ}$

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An angle is double of its supplement. The measure of the angle is (a) 60° (b) 120° (c) 40° (d) 80°

Let the required angle be x. Now, supplementary of the required angle = 180∘ − x Then, x=2180°-x⇒x=360°-2x⇒3x=360°⇒x=120° Hence, the correct answer is option (b).

An angle is double of its supplement. The measure of the angle is
(a) 60°
(b) 120°
(c) 40°
(d) 80°

Let the required angle be x.
Now, supplementary of the required angle = 180^∘− x
Then,
$x = 2 (180 ° - x) \Rightarrow x = 360 ° - 2 x \Rightarrow 3 x = 360 ° \Rightarrow x = 120 °$
Hence, the correct answer is option (b).