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QUESTION IMAGE

solve for the missing angle.

Question

solve for the missing angle.

Explanation:

Step1: Find the exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
In triangle \(STR\), \(\angle SRP=\angle T + \angle TSR\)

Step2: Substitute the given values

Given \(\angle T = 80^{\circ}\) and \(\angle TSR=25^{\circ}\)
\(\angle SRP=80^{\circ}+ 25^{\circ}\)

Answer:

\(105^{\circ}\)