Answer:
one angle measures 76°, and
its complementary angle measures 90° - 76° = 14°.
Step by step explanation:
Two angles are complementary if the sum of their measures is 90°. Let x be the measure of one angle, then the measure of its complementary angle is 90° - x.
The problem states that one angle measures 62° more than the measure of its complementary angle, so we can set up the following equation:
x = (90° - x) + 62°
Simplifying and solving for x:
x = 90° - x + 62°
2x = 152°
x = 76°
Therefore, one angle measures 76°, and
its complementary angle measures 90° - 76° = 14°.