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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°

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calculista

Answer:

[tex]m\angle STR=24^o[/tex]

Step-by-step explanation:

we know that

[tex]m\angle STQ=m\angle STR+m\angle RTQ[/tex] ---> by addition angle postulate

we have

[tex]m\angle STQ=48^o[/tex] ----> given problem

[tex]m\angle STR=m\angle RTQ[/tex] ----> given problem

substitute in the expression above

[tex]48^o=2m\angle STR[/tex]

Divide by 2 both sides

[tex]m\angle STR=24^o[/tex]

Answer:

A.24

Step-by-step explanation:

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