Question

the measure of the complementary angle and the supplementary angle of a given angle are x and 4x respectively. what is the measure of the given angle?

Answer 1

let the angle be y.

x+y=90°--(1)

4x+y=180° ---(2) (using elimination method)
- - -
-----------
-3x = -90°
_______


x=-90/-3

x=30

x+y=90°

30+y=90°

y=90°-30°

y=60°

So, the given angle is 60° .