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

120°
and 17°
120 degrees and 17 degrees

73°
and 34°
73 degrees and 34 degrees

120°
and 90°

1 answer

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

Let's check each of the pairs:

  1. 17° and 73°: \( 17 + 73 = 90° \) (Complementary)

  2. 120° and 17°: \( 120 + 17 = 137° \) (Not complementary)

  3. 73° and 34°: \( 73 + 34 = 107° \) (Not complementary)

  4. 120° and 90°: \( 120 + 90 = 210° \) (Not complementary)

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