Question

Two supplementary angles in the ratio 3: 2 . The smaller angle measures (a) 108o (b) 81o (c) 72o (d) none of these

Answer 1

Answer:

Let the angles be 3x and 2x.

Supplemenatry angle=180°

Therefore, 3x+2x=180

5x=180

x=180/5

x=36°

Smaller angle is 2x

2x=2*36=72°

So, the measure of the smaller angle is 72°.

Answer 2

Here, The angles sum up to 180°

3x + 2x = 180°

=> 5x = 180°

$x = \frac{180}{5}$

$\therefore \underline{ \bold{x = 36 \degree}}$

The smaller angle is 2x

$= 2 \times 36$

$= \boxed{ 72 \degree}$

Option C is the answer

Hope it helps you