The larger of two supplementary angles exceeds the smaller by 18°

Linear Equations in Two Variables (10)

The larger of two supplementary angles exceeds the smaller by 18°. Find the angles.

Answer

Let larger angle be x°

Smaller angle = 180° - x°

(x) - (180 - x) = 18

2x = 180 + 18 = 198

x = 99

The two angles are 99° and 81°

• Exam Year: 2019