Question

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

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.