Question

Solution for Two complementary angles differ by 20degree.Find the angles

Answer 1

Let the 1st complementary angle be x

Given, two supplementary amgles differ by 20°, so second complementary angle = x - 20

Complementary angles are those angles which add upto 90°

According to the question,

x + x - 20 = 90

2x - 20 = 90

2x = 90 + 20

2x = 110

x = $\dfrac{110}{2}$

x = 55

1st angle => x

=> 55°

2nd angle => x - 20

=> 55 - 20

=> 35°

∴ The two complementary angles are 55° and 35° respectively.

Answer 2

Hi THERE!!!

HERE'S THE ANSWER :-

Let 1st angle be x.

Second angle = x - 20°

ACCORDING TO QUESTION :-

x + x - 20° = 90°

2x - 20° = 90°

2x = 90° + 20°

2x = 110°

x = $\frac{110}{2}$

x = 55°

So, 1st angle = 55°

Second angle = 55° - 20° = 35°

So, the angles were 55° and 35°.

HOPE IT HELPS U :))