Question

the three angle or a triangle are in a ratio 2:3:5.Find the measure of each angle

Answer 1

Here's the answer

We know that

Sum of measure of all angles of a triangle = 180°

In the given question,

Let the common multiple be x

So,

$\sf{2x + 3x + 5x = 180°}$

$\sf{10x = 180°} \\ \\ \sf{x = 18° }$

So,

2x = 2 × 18° = 36°

3x = 3 × 18° = 54°

5x = 5 × 18° = 90°

So,

The measures of all angles is -

36° , 54° , 90° respectively.

Thanks!

Answer 2

Heya ...!

Ratios Of The Triangle => 2:3:5

Let The Angles Be => 2x,3x,5x

As We Know Sum Of All Angles Of A Triangle => 180°

So ,

2x+3x+5x=180°

10x=180°

x=180/10

$\underline{ x=18}$

Measure Of Each Angle =>

1. 2x=2(18)=36°

2. 3x=3(18)=54°

3. 5x=5(18)=90°

Therefore Three Angles Are = 36°,54°,90°