Question

If angle AOB and angle BOC are complementary angles, and m angle AOB = x°, what is the measure of the supplement of angle BOC?

Answer 1

Complementary angles are angles whose sum is 90 degrees.

If angle AOB and angle BOC are complementary and angle AOB is x degrees, it means that angle BOC is (90 - x) degrees

Supplementary angles are angles whose sum is 180 degrees. If angle BOC is (90 - x) degrees, then the measure of its supplement would be

180 - (90 - x)

= 180 - 90 + x

= 90 + x

the measure of the supplement of angle BOC is (90 + x) degrees