Question

An angle measures 17.6° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

Measure of one angle = x

So, measure of other angle = x + 17.6

Total measure of both angles = 90°

So, we can say

x + x + 17.6 = 90

= 2x + 17.6 = 90

= 2x = 90 - 17.6

= 2x = 72.4

= x = 72.4 ÷ 2

= x = 36.2.

So, measure of both the angles will be

36.2 and (36.2 + 17.6)

= 36.2 and 53.8

Answer 2

Answer:

x + x + 17.6 = 90

2x + 17.6 = 90

2x = 90 - 17.6

2x = 72.4

x = 72.4/2

x = 181/5

x = 36.2