Question

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

• A. ${108}^o$
• B. ${40}^{\circ }$
• C. $0^{\circ }$
• D. ${180}^{\circ }$

Answer 1

The correct option is A

${108}^o$

Supplementary angles add upto ${180}^o.$

Let the angles be 3x and 2x.

3x + 2x = ${180}^o$

5x = ${180}^o$

x = 36

Greater angle = 3 x 36 = ${108}^o$