Question

on your own: pairs of angles
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Explanation:

Step1: Identify supplementary angle pair

Angles on a straight line sum to $180^\circ$. The $50^\circ$ angle and its adjacent angle (e.g., $\angle RPM$ and $\angle RPE$) are supplementary.

Step2: Calculate the unknown angle

Let the unknown angle be $x$.
$x = 180^\circ - 50^\circ$

Answer:

$130$