Question

Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of line segments S R and R Q are congruent. Side lengths S T and T Q are congruent. Angles S T R and R T Q are congruent. What is the measure of Angle S T R? 24° 38° 48° 76°

Answer 1

A.24

Explanation:

Answer 2

`m\angle STR=24^o`

Explanation:

we know that

`m\angle STQ=m\angle STR+m\angle RTQ` ---> by addition angle postulate

we have

`m\angle STQ=48^o` ----> given problem

`m\angle STR=m\angle RTQ` ----> given problem

substitute in the expression above

`48^o=2m\angle STR`

Divide by 2 both sides

`m\angle STR=24^o`