Question

2adjacent angles on a straight line are in the ratio 3:2. Find the measure of each angle

Answer 1

Given, the ratio of two adjacent angles on a straight line = 3 : 2

So, one angle = 3x and the other angle = 2x 

We know that,  two adjacent angles on a straight line always forms a linear pair.

⇒3x + 2 x = 180°

⇒5x = 180°

⇒ x = 36°

Therefore, one angle = 3x = 3× 36° = 108°

and other angle = 2x = 2 × 36° = 72°

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Answer 2

Answer:

First angle = 108°

Second angle = 72°

Step-by-step explanation:

First angle = 3x

Second angle = 2x

$3x + 2x = 180 \\ 5x = 180 \\ x = \frac{180}{5} \\ x = 36$

Therefore,

3x

= 3×36

= 108°

2x

= 2×36

= 72°

Hope it helps (•‿•)