Question

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

• A. 72${}^{\circ }$, 108${}^{\circ }$
• B. 100${}^{\circ }$, 80${}^{\circ }$
• C. 120${}^{\circ }$, 60${}^{\circ }$
• D. 112${}^{\circ }$, 68${}^{\circ }$

Answer 1

The correct option is A

72${}^{\circ }$, 108${}^{\circ }$

Let the two angles be 2x and 3x.

2x + 3x = 180${}^{\circ }$ [Given two angles are supplementary]

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

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

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

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