Question

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

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 $180°$.

- Write one possible measure for angle HOK.

The $\angle HOK$can’t have a complement that implies the angle has a measure greater than $90°$.

The $\angle HOK$has a supplement that implies the has measure less than.

Therefore, has measure greater than and less than .

Therefore, the one possible measure for is .