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 nine times the other angle.

Question

Help me having trouble whats answer?

Answer 1

Let A = the first complementary angle

Let 9A = the second complementary angle

A + 9A = 90 (Definition of complementary angles. Sum is 90 degrees.)

10A = 90 (9 times A plus 1 times A is 10 times A.)

10A/10 = 90/10 (Dividing both sides by 10.)

A = 9 (The 10's cancel each other out.)

So, the FIRST ANGLE IS 9 DEGREES.

And, the SECOND ANGLE IS 90 - 9 = 81 DEGREES. Also, 9A = 9 x 9 = 81.

Hop this helps Joshua.