Question

If two complementary angles differ by 20 degree. Find the measure of each angle.

Answer 1

sum of two complementary angles= 90°
let one of the complementary angles be x and second angle be x-20
then a/q       x+ x-20=90
                  =2x = 90+20
                  = x= 110/2
                   ∴x= 55
so measure of one angle is 55°
 and the second angle is 55-20= 35°
and 55+35= 90°
                  

Answer 2

Given : Two complementary angles differ by 20°.

To find : Measure of each angles.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

To solve this mathematical problem, we have to know more about complementary angles.

What is complementary angle?

• "When the sum of two angles become 90°, then those two angles are considered to be complementary angles of each other."
• Example : 60° and 30° are complementary angles. (60°+30° = 90°)

Let, smaller angle = x°

So, bigger angle = (x+20)°

According to the definition of complementary angles,

x+x+20 = 90

2x = 70

x = 35

Smaller angle = 35°

Bigger angle = (35+20)° = 55°

Hence, the two angles are 35° and 55°