Question

15. If two complementary angles are in the ratio 1 : 5, find them.
16. If two supplementary angles are in the ratio 2:7, find them.


please help me solve these​

Answer 1

Step-by-step explanation:

15. let the angles be x and 5x.

A/q

x+5x = 90°

6x = 90°

x = 90°/6

x = 15

1st angle = 15°

2nd angle = 5×15° = 75°

16. let the angles be 2x and 7x.

A/q

2x+7x = 180°

9x = 180°

x = 180°/9

x = 20°

1st angle = 2×20° = 40°

2nd angle = 7×20° = 140°

Answer 2

Answer:

solved

Step-by-step explanation:

(i.) Two complementary angles are in ratio 1:5

since, 1:5 = 1/5

Let the angles be x degree

According to the question,

1x+ 5x = 90 degree

6x = 90 degree

x = ( 90 / 6 ) degree

x = 15 degree

so , 1st angle is 15 degree

And , 2nd angle is 75 degree

( ii. ) Two supplementary angles are in ratio 2:7

Since, 2:7 = 2/7

Let the angles be x degree

According to the question,

2x + 7x = 180 degree

9x = 180 degree

x = ( 180 / 9 ) degree

x = 20 degree

Therefore; 1st angle is ( 20 × 2 ) degree

= 40 degree

And , 2nd angle is ( 7 × 20 ) degree

= 140 degree

HOPE IT HELPS YOU