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The angle A is complementary to angle B. The angle C is complementary to angle B.

If angle A = 62 degrees, what are the measures of angle B and angle C?

Answer :

Angle B is 28 degrees, and Angle C is 62 degrees. They are complementary to Angle A (62 degrees), totaling 90 degrees.

In this scenario, we have three angles, A, B, and C, with complementary relationships. Complementary angles add up to 90 degrees. Given that Angle A is 62 degrees and Angle A is complementary to Angle B, we can find the measure of Angle B as follows:

Complementary angles A and B: A + B = 90 degrees.

We know Angle A (A = 62 degrees), so we can substitute it into the equation: 62 + B = 90 degrees.

To solve for Angle B, subtract 62 from both sides of the equation: B = 90 - 62 = 28 degrees.

Now that we've found the measure of Angle B (28 degrees), let's determine the measure of Angle C. It's given that Angle C is also complementary to Angle B, so Angle B + Angle C = 90 degrees.

Substitute the value of Angle B (28 degrees) into the equation: 28 + C = 90 degrees.

To solve for Angle C, subtract 28 from both sides of the equation: C = 90 - 28 = 62 degrees.

So, Angle B is 28 degrees, and Angle C is 62 degrees. Angle A, Angle B, and Angle C form a set of complementary angles, with their sum equaling 90 degrees, as expected.

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