A figure consists of five angle measures: 17°

Question

, 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 90°
120 degrees and 90 degrees

73°
and 34°
73 degrees and 34 degrees

120°
and 17°
120 degrees and 17 degrees

Answer 1

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

Let's check each of the given pairs:

1. 17° and 73°:

   • \( 17° + 73° = 90° \) (This is a complementary pair.)

2. 120° and 90°:

   • \( 120° + 90° = 210° \) (Not complementary.)

3. 73° and 34°:

   • \( 73° + 34° = 107° \) (Not complementary.)

4. 120° and 17°:

   • \( 120° + 17° = 137° \) (Not complementary.)

Therefore, the correct response is:

17° and 73°.