Question

find m∠oqp.
answer attempt 2 out of 2
m∠oqp =

Explanation:

Step1: Identify triangle type

The triangle has two equal - length sides (marked with single cross - hatching), so it is isosceles. 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 $\angle OQP=\angle OPQ = x$. We know that $\angle POQ = 45^{\circ}$. So, $45^{\circ}+x + x=180^{\circ}$.

Step3: Solve the equation for $x$

Combining like terms, we get $45^{\circ}+2x = 180^{\circ}$. Subtract 45° from both sides: $2x=180^{\circ}- 45^{\circ}=135^{\circ}$. Then divide both sides by 2: $x=\frac{135^{\circ}}{2}=67.5^{\circ}$.

Answer:

$67.5$