A) A figure consists of four angles. The angle measures are as follows: m<1 = 65°

mL2=90°
m<3 = 30°, and
mL4 = 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

Two angles are considered complementary if their sum is equal to 90°.

Looking at the given angles:
m<1 = 65°
m<2 = 90°
m<3 = 30°
m<4 = 25°

We need to find two angles whose measures add up to 90°. The only pair of angles that satisfies this condition is m<2 (90°) and m<3 (30°).

Therefore, angles <2 and <3 are complementary angles.