Question

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 15º more than two times the other angle. ​What does the smaller angle measure? What does the bigger one measure?

Answer 1

smaller = 25, bigger = 65

Explanation:

x = smaller

y = bigger

2x + 15 + x = 90

3x + 15 = 90

3x = 75

x = 25

y + x = 90

y + 25 = 90

y = 65