Question

The angels of a triangle are in the
ratio 2:3:5. The measure of longest
angle is.​

Answer 1

Step-by-step explanation:

let the ratio be 2x 3x and 5x

sum of all the angles = 180

2x+ 3x + 5x = 180

10x = 180

x = 18

5x = 5*18 = 90

so it is largest angle

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Answer 2

Answer:

Let 1st angle = 2x

2nd angle = 3x

3rd angle = 5x

A.T.Q.

2x + 3x + 5x = 180° (Angle sum property)

10x = 180°

x = 180°/10

x = 18°

So, 1st angle = 2 × 18° = 36°

2nd angle = 3 × 18° = 54°

3rd angle = 5 × 18° = 90°

Therefore, the measure of longest angle is 90°.

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