Question

4. If the measure of an angle is twice the measure of measure of the angle is: (a) 60° (b) 90° (c) 120° 5. Find angle which is one third of its complement. 6. Find an angle which is four times of its supplement. 7. Find an angle which is one third of its reflex angle. & Supplement of an angle is four times of its complem 9. In figure AB and AC are opposite rays: (i) If x= 32, find Zy (ii) Ify = 28°, find ZEX (3y + 11°) 12x°​

Answer 1

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = \frac{180}{3}

3

180

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Learn more:

Find the angle whose supplement is 4 times its complement