Question

An angle measures 88.8° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Let x be the measure of the first angle, then its complementary angle measures 90° - x.According to the problem, we have:x = (90° - x) + 88.8°Simplifying this equation, we get:x = 178.8° - xAdding x to both sides, we get:2x = 178.8°Dividing both sides by 2, we get:x = 89.4°Therefore, the first angle measures 89.4°, and its complementary angle measures 90° - 89.4° = 0.6°.