Question

Find the measure of an Angle if the measures of a supplement and a complement of the angle have the ratio 5:2.

Answer 1

Let the angle be x

180°- x = 5 units ----(1)

90°- x = 2 units ----(2)

(1) - (2)

90° = 3 units

1 unit = 30°

Substitute 1 unit = 30° into Eqn 1

180° - × = 150°

x = 30°

Note: this method is using the method of simultaneous equation

it can be solvedusing other methods