Question

Given △pqr≅△stu, m∠r=80°, and m∠s=70°, what is the measure of ∠q? hint: draw a picture. enter your answer in the box. m∠q= °

Answer 1

The calculated measure of the angle q is 30 degrees

How to determine the measure of the angle q

From the question, we have the following parameters that can be used in our computation:

△pqr ≅ △stu

This means that the triangles are congruent

Also, we have

m∠r=80°, and m∠s=70°

By the properties of the corresponding angles of congruent triangles

We have

m∠r=80°, and m∠p=70°

The sum of angles in a triangle is 180

So, we have

q = 180 - 80 - 70

Evaluate

q = 30

Hence, the measure of the angle q is 30 degrees