Question 15
The measure fo an angle which is four times its supplement, is
(a) $36^{\circ}$
(b) $144^{\circ}$
(c) $16^{\circ}$
(d) $64^{\circ}$

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Solution

Let the required angle be x then its supplement will be (180^{\circ} - x ).
It is given that, the angle is four times its supplement.
therefore $x = 4 (180^{\circ} - x) \Rightarrow x = 4 \times 180^{\circ} - 4 x \Rightarrow x + 4 x = 720^{\circ} \Rightarrow 5 x = 720^{\circ} \Rightarrow x = \frac{720^{\circ}}{5} \Rightarrow x = 144^{\circ}$

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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°

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°

An angle is one fifth of its supplement. The measure of the angle is

(a) $15^{\circ}$

(b) $30^{\circ}$

Q. Mark (✓) against the correct answer
An angle is one-fifth of its supplement. The measure of the angle is

(a) 30°
(b) 15°
(c) 75°
(d) 150°

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Question 15 The measure fo an angle which is four times its supplement, is (a) 36∘ (b) 144∘ (c) 16∘ (d) 64∘

Let the required angle be x then its supplement will be (180^{\circ} - x ). It is given that, the angle is four times its supplement. therefore x=4(180∘−x)⇒x=4×180∘−4x⇒x+4x=720∘⇒5x=720∘⇒x=720∘5⇒x=144∘

Question 15
The measure fo an angle which is four times its supplement, is
(a) $36^{\circ}$
(b) $144^{\circ}$
(c) $16^{\circ}$
(d) $64^{\circ}$