Question

The measure of angel of traingle are in ratio 2:3:5 find their measure in radiand

Answer 1

If 2x+3x+5x=180^0
10x=180
x=18.

2x=2×18=36^0
3x=3×18=54^0
5x=5×18=90^0.
I don't know how to find radians.
hope it is helpful for you

Answer 2

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Here is your answer.
Let the angles of the triangle are 2x , 3x and 5x

As we know that Sum of all angles of the triangle is π radians

$2x + 3x + 5x = \pi \\ 10x = \pi \\ x = \frac{\pi}{10} \: radians$
Therefore Angles are I Angle
$2 \times \frac{\pi}{10} \\ = \frac{\pi}{5} \: radians$

II Angle
$= \frac{\pi}{10} \times 3 \\ = \frac{3\pi}{10} \: radians$
III Angle

$= \frac{\pi}{10} \times 5 \\ = \frac{\pi}{2} \: radians$

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