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:

Step1: Recall linear pair definition

A linear pair of angles are adjacent and supplementary (sum to \(180^\circ\)).

Step2: Identify angle relationship

\(\angle BGH\) and \(\angle ZGB\) form a linear pair (they are adjacent and share a common side, with their non - common sides forming a straight line). Given \(m\angle ZGB = 135^\circ\), then \(m\angle BGH=180^\circ - 135^\circ = 45^\circ\). So the relationship is a linear pair of angles.

Answer:

a linear pair angles