Question

16.The angles of a triangle are in the ratio 6 : 7:2 ,Find the angles of a triangle.


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Answer 1

Let the angles be 6x, 7x and 2x.

6x+7x+2x = 180° (Angle sum property)

or 15x = 180°

or x = 180°/15

or x = 12°

The angles are 6x = 72°, 7x = 84° and 2x = 24°.

Answer 2

6x+7x+2x=180 (Angle sum property of triangle)

15x=180

x=180/15=12

Angles = 6x=6*12=72,

7x=7*12=84,2x=2*12=24

Ratio of angles=72:84:24