Question

the supplement of an angle is 5 times its complement.What is the measure of the angle?

Answer 1

Let the angle be x and its complement be y and its supplement be z
Then A/Q
x +y = 90°
x = 90° - y -----(¡)
And x+z = 180°
From ques. z = 5y
Then x + z = 180°
x + 5y = 180°
From (¡) 90 - y +5y = 180
90-4y = 180
y = 90/4 = 22.5°
x = 90- 22.5
= 67.5