Question

Two complementary angles are in the ratio 4: 5. Find the angles
1. Two supplementary angles are in the ratio 7: 8. Find the angles.
14.254 of an angle is the complement of 50°. Find the angle
15. 80% of an angle is the supplement of 140°. Find the angle
16. An angle is double its complement. Find the angle.
11. The measure of an angle is 20° more than its complement. Find the measure of the angle
TR. The measure of an angle is 30% less than its supplement. Find the measure of the angle.
19. Find an angle which is two-thirds of its complement
20. Find an angle which is one-fifth of its supplement
21. Find an angle which is 5º more than four times its supplement​

Answer 1

Answer:

Let the angles be x

As they are in ratio of 4:5 ,so we can write it in the form of 4x ,5x

We know supplementary angle =180°

so,According to the question

4x+5x =180°

9x =180°

x =180°÷9

x =20°

so , 1 st angle = 4x =4×20° =80°

2 nd angle = 5x = 5×20° =100°

◆PROOF◆

4x + 5x =180°

4×20° +5×20° =180°

80°+ 100°=180°

180° =180°

[VERIFIED]