Question

(4x - 50)° and (x + 60)° are a pair of supplementary angles.
Find the following values :
x =
°
the smaller angle is :
°
and

the greater angle is :
°

Answer 1

Step-by-step explanation:

Sum of a pair of supplementary angles = 180°

4x - 50° + x + 60° = 180°

5x +60° - 50° = 180°

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170°/5

x = 34°

the smaller angle = (4x - 50)° = 86°

the greater angle = (x + 60)° = 94°