A figure consists of four angles. The angle measures are as follows: m∠1=65° , m∠2=90° , m∠3=30° , and m∠4=25° . Which two angles are complementary angles? Identify by the angle number and not the degree measurement. List the smaller angle value first and the larger angle value second.

1 answer

Complementary angles are two angles whose sum is 90°.

Among the given angles, the pairs that add up to 90° are:

m∠1 + m∠4 = 65° + 25° = 90°
m∠2 + m∠3 = 90°

So the two complementary angles are m∠1 and m∠4.