Question

question find m∠qpr answer attempt 1 out of 3 m∠qpr =

Explanation:

Step1: Identify triangle type

The triangle has two equal - length sides (marked with single hash marks), so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal.

Step2: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let $\angle{QPR}=\angle{PQR}=x$. We know that $\angle{PRQ} = 61^{\circ}$. So, $x + x+61^{\circ}=180^{\circ}$, which simplifies to $2x=180^{\circ}- 61^{\circ}=119^{\circ}$.

Step3: Solve for $x$

Dividing both sides of $2x = 119^{\circ}$ by 2, we get $x=\frac{119^{\circ}}{2}=59.5^{\circ}$.

Answer:

$59.5^{\circ}$