Question

question find m∠qpr answer attempt 1 out of 2 m∠qpr =

Explanation:

Step1: Identify triangle type

The triangle has two equal - side markings, 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 $\angle{QPR}=\angle{QRP} = x$. We know one angle $\angle{PRQ}=61^{\circ}$. So, $x + x+61^{\circ}=180^{\circ}$.

Step3: Solve the equation

Combining like terms gives $2x=180^{\circ}- 61^{\circ}=119^{\circ}$. Then $x=\frac{119^{\circ}}{2}=59.5^{\circ}$.

Answer:

$59.5^{\circ}$