Question

If two supplementary angles are in the ratio 3:2. Find the smaller angle?

Answer 1

$\texttt {Here is the answer}$

Let the common multiple be 'x'.

We know that,

Supplementary angles measure 180°.

Therefore,
According to the given question,


3x + 2x = 180°
5x = 180°
x = 180° / 5
x = 36°

Now,
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°

Therefore,
108 > 72

Hence,
The smaller angle is 72°.

Thanks

#BeBrainly!!

Answer 2

we know that sum of supplementary angle is 180 therefore let the angles be 3x and 2x. 3x+2x=180. 5x=180. x=36 so the smallest angle is 2x =2×36=72