Question

In a triangle PQR, if angle QPR = 80 degrees and PQ = PR, then find angle R and angle Q.

Answer 1

In a triangle PQR, if angle QPR is 80 degrees and PQ = PR, then angle R and angle Q are both equal to 50 degrees.

Step-by-step explanation:

To find the measure of angle R and angle Q in triangle PQR, we use the fact that the sum of the angles in a triangle is 180 degrees. Since angle QPR is given as 80 degrees, the sum of angles Q and R will be 180 - 80 = 100 degrees.

Since PQ = PR, Q and R are congruent angles. In an isosceles triangle, congruent angles are opposite congruent sides. Therefore, angle Q is equal to angle R.

So, angle R = angle Q = 100/2 = 50 degrees.

Learn more about Triangle Angles