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 point)

1 answer

To determine which two angles are complementary, we need to find two angles that add up to 90°.

Given the angles:

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

Let's check the pairs of angles:

  • m∠1 (65°) + m∠3 (30°) = 95° (not complementary)
  • m∠1 (65°) + m∠4 (25°) = 90° (complementary)
  • m∠2 (90°) + any angle = >90° (not complementary)
  • m∠3 (30°) + m∠4 (25°) = 55° (not complementary)

The two angles that are complementary are m∠4 and m∠1.

Thus, the answer is: 4, 1