If two acute angles of a right triangle are equal, then each is equal – InterviewSolution

InterviewSolution

1.

If two acute angles of a right triangle are equal, then each is equal toA. 30°B. 45°C. 60°D. 90°

Answer»

Given that the triangle is acute.

So,

∠1, ∠2 and ∠3 be the angles of the triangle.

∠1 = 90°(Given)

∠2 = ∠3

We know that,

∠1 + ∠2 + ∠3 = 18°

90° + ∠2 + ∠2 = 180°

2∠2 = 180° – 90°

∠2 = 45°

Therefore,

∠2 = ∠3 = 45°

Thus, each acute angle is equal to 45°

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