∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 37^\circ37 ∘ 37, degrees. What is the measure of \angle b∠bangle, b?
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∠ a and ∠ b, are complementary angles. ∠ a measures 37 degrees. What is the measure of ∠ b?
Complementary angles - if the sum of angles is equal to 90 degrees, then those angles are said to be complementary angles.
From given, we have,
∠ a = 37°
Therefore, from the definition of complementary angles, we have,
∠ a + ∠ b = 90°
37° + ∠ b = 90°
∠ b = 90° - 37°
∴ ∠ b = 53°
Therefore, the measure of angle b is 53 degrees, given angles a and b are complementary angles with the angle a measuring 37 degrees.
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