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 that add up to 90 degrees.

In this case, we have the following angles:

  • m∠1 = 65°
  • m∠2 = 90°
  • m∠3 = 30°
  • m∠4 = 25°

Checking the pairs of angles:

  • m∠1 + m∠4 = 65° + 25° = 90° (complementary)
  • m∠3 + m∠4 = 30° + 25° = 55° (not complementary)
  • m∠2 = 90° (not complementary with any angle)

The only pair of complementary angles is m∠4 and m∠1.

Thus, the answer is: 4, 1.