Question

the measure of angle p is 50 degrees. find the measure of angle r. the measure of angle r is

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides are equal). So, $\angle R=\angle Q$.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is $180^{\circ}$. Let $\angle R = x$. Then $\angle Q=x$ and $\angle P = 50^{\circ}$.
So, $x + x+50^{\circ}=180^{\circ}$.
Simplify: $2x=180^{\circ}- 50^{\circ}=130^{\circ}$.
Solve for $x$: $x=\frac{130^{\circ}}{2}=65^{\circ}$.

Answer:

$65$