Question

find m∠qpr
answer
attempt 2 out of 2
m∠qpr =
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Explanation:

Step1: Identify isosceles triangle

The triangle has two equal - length sides, so it is isosceles. In an isosceles triangle, the base - angles are equal.

Step2: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let $\angle QPR=x$, $\angle PQR = \angle PRQ = 61^{\circ}$.

Step3: Set up equation

Using the angle - sum property of a triangle $x + 61^{\circ}+61^{\circ}=180^{\circ}$.

Step4: Solve for $x$

$x=180^{\circ}-(61^{\circ}+61^{\circ})=180^{\circ}-122^{\circ}=58^{\circ}$.

Answer:

$58^{\circ}$