Question

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

Answer 1

Complementary angles are two angles that add up to 90 degrees.

Let's look at the given angles: 17°, 34°, 90°, 120°, and 73°.

Now we can check the pairs:

- 17° + 34° = 51° (not complementary)
- 17° + 90° = 107° (not complementary)
- 17° + 120° = 137° (not complementary)
- 17° + 73° = 90° (complementary)

- 34° + 90° = 124° (not complementary)
- 34° + 120° = 154° (not complementary)
- 34° + 73° = 107° (not complementary)

- 90° + 120° = 210° (not complementary)
- 90° + 73° = 163° (not complementary)

- 120° + 73° = 193° (not complementary)

From the checks, the angles 17° and 73° are the pair that correspond to complementary angles since they add up to 90°.

Thus, the two angle measures that are complementary are **17° and 73°**.