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 eighteight times the other angle.

Answer 1

If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.