Question

Two supplementary angles are in the ratio 3:2. What is the measure of smallest angle? ​

Answer 1

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°.

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Step-by-step explanation:

Answer 2

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RATIO GIVEN 3 : 2

LET CONSTANT= X

SUM OF SUPPLEMENTARY ANGLES = 180

SO,

3X+2X= 180

5X= 180

X=

$\frac{180}{5} \\ = 36$

SMALLER ANGLE = 2X= 2×36= 72°