In right triangle ABC, angle C is a right angle and sin A = sin B. What is the measure of angle A?

A. 30
B. 45
C. 60
D. 75

Given that ABC is a right triangle.

∠C is a right angle. ∠C = 90° and sin A = sin B

We need to determine the measure of angle A.

Measure of ∠A:

Let the angles of A and B be x.

By triangle sum property, we get;

Substituting the values, we get;

Adding the terms, we get;

Simplifying the terms, we have;

Hence, the measure of ∠A = 45° and the measure of ∠B = 45°

Thus, Option B is the correct answer.

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step-by-step explanation:

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