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

1 answer

Complementary angles are two angles that add up to 90 degrees. To determine which pairs of angles are complementary from the given measures (17°, 34°, 90°, 120°, and 73°), we can calculate the sums of each possible pair:

  1. \( 17° + 73° = 90° \)
  2. \( 73° + 34° = 107° \) (not complementary)
  3. \( 120° + 17° = 137° \) (not complementary)
  4. \( 120° + 90° = 210° \) (not complementary)

The only pair that sums to 90° is \( 17° \) and \( 73° \).

Thus, the angles that correspond to complementary angles are 17° and 73°.