Question

Angles w and x are complementary. determine the degree measure of ∠w if m∠x = 68.7°

A. 111.3°
B. 90°
C. 68.7°
D. 21.3°

Answer 1

The measure of angle w is found by subtracting the measure of angle x (68.7°) from 90° because w and x are complementary angles. The result is 21.3°, which is option D.

Step-by-step explanation:

When angles w and x are complementary, their measures add up to 90 degrees. The measure of angle x is given as 68.7°. To find the measure of angle w, we subtract the measure of angle x from 90°.

Step-by-step calculation:

1. m∠w + m∠x = 90° (Definition of complementary angles).
2. m∠w + 68.7° = 90° (Substitute the measure of angle x).
3. m∠w = 90° - 68.7° (Subtract 68.7° from both sides).
4. m∠w = 21.3° (Perform the subtraction).

Therefore, the degree measure of angle w is 21.3°, which corresponds to option D.