A and B are complementary angles if angle a equals (X + 24) and angle B equals (X + 16) then what is the measurement of b

Question

Alexis Hancock

Mathematics

21 February, 11:44

A and B are complementary angles if angle a equals (X + 24) and angle B equals (X + 16) then what is the measurement of b

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Holly Snyder · Answer 1

If A and B are complementary angles, then they add up to 90 degrees.

So A + B = 90 = > (x + 24) + (x + 16) = 90 = > 2x + 40 = 90 = > 2x = 50.

So x = 25, and thus, the measurement of B is (25 + 16) = 41.

The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.