Question

An angle measures 8° less than the measure of its complementary angle. What is the

measure of each angle?
and

Answer 1

An angle and its complementary angle add up to 90 degrees. Let's call one of the angles x. Then, the other angle (which is the complementary angle to x) is (90 - x).

According to the problem, x measures 8 degrees less than its complementary angle, so we can set up the equation:

x = (90 - x) - 8

Simplifying and solving for x, we get:

2x = 82

x = 41

Therefore, one of the angles measures 41 degrees, and the other angle (its complementary angle) measures:

90 - x = 90 - 41 = 49 degrees


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