Respuesta :

calculista

Answer:

True

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

In this problem

[tex]m<Q=\frac{1}{2}(arc\ ST)[/tex]

substitute the value

[tex]m<Q=\frac{1}{2}(96\°)=48\°[/tex]

[tex]m<R=\frac{1}{2}(arc\ ST)[/tex]

substitute the value

[tex]m<R=\frac{1}{2}(96\°)=48\°[/tex]

therefore

[tex]m<Q=m<R=48\°[/tex]

Answer:

Option A. True

Step-by-step explanation:

As we know Inscribed angle theorem states that measure of an inscribed angle is equal to half of the measure of its intercepted arc.

Since m ST = 96°

Therefore ∠ TQS = 96/2 = 48°

Similarly ∠ TRS = 96/2 = 48°

Which clearly states that ∠TQS = ∠TRS = 48°

Or m∠Q = m∠R = 48°

Therefore option A. True is the correct option.

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