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Question

The angles of triangle are x − 40°, x − 20° and. Find the value of x.

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Solution

In ΔABC, A + B + C = 180° (Sum of the angles of a triangle)

x 40° + x 20° + x +15° = 180°

2x + x 60° + 15° = 180°

2x + x 45 = 180°

2x + x = 180° + 45

2x + x = 225°

5x = 2 × 225°

5x = 450°

x = 90°


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