A figure consists of five angle measures: 17° , 34° , 90° , 120° , and 73° . Which two angles measures correspond to complementary angles?(1 point)

Responses

73° and 34°
73 degrees and 34 degrees

120° and 17°
120 degrees and 17 degrees

17° and 73°
17 degrees and 73 degrees

120° and 90°

1 answer

Complementary angles are two angles whose measures add up to 90 degrees.

Let's check the pairs:

  1. 73° and 34°

    • \(73 + 34 = 107°\) (not complementary)
  2. 120° and 17°

    • \(120 + 17 = 137°\) (not complementary)
  3. 17° and 73°

    • \(17 + 73 = 90°\) (complementary)
  4. 120° and 90°

    • \(120 + 90 = 210°\) (not complementary)

The angles that are complementary are 17° and 73°.