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

Question

3 years ago

8

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°

Mathematics

2 answers:

Aleonysh [2.5K] · Answer 1 · 2021-11-28T14:29:19+03:00

Aleonysh [2.5K]3 years ago

7 0

Answer:

A.24

Step-by-step explanation:

igomit [66] · Answer 2 · 2021-11-28T12:17:55+03:00

igomit [66]3 years ago

3 0

Answer:

$m\angle STR=24^o$

Step-by-step 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

$m\angle STR=24^o$