Question

4
m∠p =

m∠q =

m∠r =

Explanation:

Step1: Identify the triangle type

The triangle with all sides equal (marked with the same tick marks) is an equilateral triangle.

Step2: Recall the angle property of equilateral triangle

In an equilateral triangle, all angles are equal. The sum of angles in a triangle is \(180^{\circ}\). Let each angle be \(x\). Then \(x + x+ x=180^{\circ}\), so \(3x = 180^{\circ}\).

Step3: Solve for \(x\)

Divide both sides of \(3x = 180^{\circ}\) by \(3\): \(x=\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

\(m\angle P = 60^{\circ}\), \(m\angle Q = 60^{\circ}\), \(m\angle R = 60^{\circ}\)