Question

If a angle is 4 times bigger than its supplement what will its measure be

Answer 1

Supplementary angles mean that two angles equal to 180°.

Let us assume the 2 angles are angle A and angle B.

Angle A is 4 times bigger than Angle B, the supplement.

Let Angle B be represented by x.

Angle A is 4x ; Angle B is x.

4x + x = 180°
5x = 180°
x = 180°/5
x = 36° This is the measure of angle B.

4x = 4(36°) = 144° This is the measure of angle A.

4x + x = 180°
144° + 36° = 180°
180° = 180°