Question

It is known that$\angle HOK$ has a supplement, but can’t have a complement. Name one possible measure for role="math" localid="1646462344975" $\angle HOK$.

Short answer

The one possible measure for$\angle HOK$ is 120°.

Step-by-step solution

Step 1. Definition of complementary angles.

The complementary angles are the angles whose sum is 90°.

Step 2. Definition of supplementary angles.

The supplementary angles are the angles whose sum is 180°.

Step 3. Write one possible measure for ∠HOK.

The angle∠HOK can’t have a compliment that implies the angle ∠HOK has measured greater than 90°.

The angle∠HOK has a supplement that implies the angle∠HOK has measured less than 180°.

Therefore, the angle ∠HOK has measured greater than 90°and less than 180°.

Therefore, the one possible measure for ∠HOK is 120°.