Question

Two supplementary angles are in the ratio 2 : 3. Find the angles.

Answer 1

Let the two angles be 2x and 3x in degrees. Then,

2x + 3x = 180${}^{\circ }$

5x = 180${}^{\circ }$

x = 36${}^{\circ }$

Thus, the two angles are 2x = 2 × 36${}^{\circ }$ = 72${}^{\circ }$

and 3x = 3 × 36${}^{\circ }$ = 108${}^{\circ }$