Question

1. find the measure of angle r.

Explanation:

Step1: Recall straight angle sum

A straight angle is \(180^\circ\). So, \(75^\circ + r + 30^\circ = 180^\circ\).

Step2: Solve for \(r\)

Rearrange: \(r = 180^\circ - 75^\circ - 30^\circ\).
Calculate: \(r = 75^\circ\).

Answer:

\(75^\circ\)