Question

In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?

Answer 1

45 degrees.

Explanation:

A and B are the two acute angles of a right triangle, so they add up to 90 degrees. If their sines are equal then the angles themselves are equal. Each one is half of 90 degrees

Answer 2

A and B are the two acute angles of a right triangle, so they add up to 90 degrees. If their sines are equal then the angles themselves are equal. Each one is half of 90 degrees = 45 degrees.