The red lines over the sides of the triangle mean that all the sides have the same size and shape. This means that all the sides are congruent. We can write this by using a congruence statement.
PM≅MR≅RP
Now, recall the classification of triangles.
A right triangle is a specific type of triangle that contains one angle of 90^(∘).
Since the given triangle has three congruent sides, triangle MPR is an equilateral triangle. We want to find m ∠ MRP. To do so, we will consider the Properties of Equilateral Triangles.
A triangle is equilateral if and only if it is equiangular.
Each angle of an equilateral triangle measures 60^(∘).
Using the second property, we can say that m ∠ MRP= 60.
