Question

9. Find the angle whose supplement is four times its complement
10. Find the angle whose complement is one third of its supplement​

Answer 1

✨Heya dear✨

9. let one angle be x

the other angle = 180-x supplement

90-x = compliment

180-x=4*(90-x) supplement is 4 times compliment

180-x = 360 -4x

3x= 360-180

3x=180

X=60 deg

10. Let the angle be x complement of x is (90 − x)°

supplement of x is (180 − x)°

Given (90 − x)° = (1/3) × (180 − x)°

⇒ 270° − 3x = 180°− x

⇒ 270° − 180° = 3x − x

⇒ 2x = 90°

∴ x = 45°