Question

Two supplementary angles are in the ratio 3 : 2. The smaller angle measures
(a) 108°
(b) 81°
(c) 72°
(d) 68°

Answer 1

Let the angles be 3x and 2x.
Now, 3x + 2x = 180^∘
⇒ 5x = 180^∘
⇒ x = 36^∘
∴ Smaller angle = 2x = 2 × 36^∘ = 72^∘
Hence, the correct answer is option (c).