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

120° and 17°
120 degrees and  17 degrees

120° and 90°
120 degrees  and  90 degrees

73° and 34°

1 answer

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

Let's check the pairs:

  • 17° and 73°: \( 17° + 73° = 90° \) (complementary)
  • 120° and 17°: \( 120° + 17° = 137° \) (not complementary)
  • 120° and 90°: \( 120° + 90° = 210° \) (not complementary)
  • 73° and 34°: \( 73° + 34° = 107° \) (not complementary)

Therefore, the two angle measures that correspond to complementary angles are 17° and 73°.