Question

Two complementary angles, A and B, have measures in the ratio of 7 to 23, respectively. What is the ratio of the measure of the complement of angle A to the measure of the complement of angle B? Express your answer as a common fraction.

Answer 1

A =7/30 *90 degrees
A = 21 degrees
B= 23/30 *90
= 69 degrees

Answer 2

B is the complement of A, so

B/A = 69/21 =23/7

Surprise, surprise!