Question

The measures of three angles of a triangle are in the ratio 2 : 3 : 1. Find the measures of all the angles.
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Answer 1

The angles of a triangle are in ratio 2:3:1 .

Let the angles be 2x, 3x, x .

We know that the sum of all angles of triangle is 180º .

Therefore,

2x + 3x + x =180º

6x=180º

x = 30º

We get x = 30º

Therefore,

First angle = 2x=2×30=60º

Second angle = 3x=3×30 =90º

Third angle = x = 30º

Therefore, the measures of all angles are 60º,90º,30º .

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