Question

the measure of ∠bgh can be calculated. the measure of ∠bgh is 45° because ∠bgh and ∠zgb are dropdown options: alternate interior angles, alternate exterior angles, corresponding angles, a linear pair angles, same side interior angles, same side exterior angles, vertical angles

Explanation:

1. A linear pair consists of two adjacent angles that form a straight line, so their measures add up to 180°.
2. $\angle ZGB$ is given as 135°, so $\angle BGH = 180^\circ - 135^\circ = 45^\circ$, which matches the provided value. This confirms they are a linear pair.

Answer:

The measure of $\angle BGH$ is 45° because $\angle BGH$ and $\angle ZGB$ are a linear pair