Question

2 supplementary angles are in ratio 3:2. the smaller angle measures

Answer 1

Answer:

Step-by-step explanation:

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°.

Answer 2

Answer:

HERE IS YOUR ANSWER...

Let the common angle be x

Now,

3x + 2x = 180°

5x = 180

x = 180/5

x = 36°

So angle 1 = 3 X 36

= 108°

and angle 2 = 2 X 36

= 72°

So the measure of smaller angle is 72 °

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