In circle T, ∠PTQ ≅ ∠RTS.

Circle T is shown. Line segments T P, T Q, T R, and T S are radii with length 3. Lines are drawn from point P to point Q and from point R to point S to form secants with length 4. Angles PT Q and R T S are congruent. The measure of arc S R is 66 degrees.

What is the measure of Arc P Q?

24°
33°
48°
66°

In circle T PTQ RTS Circle T is shown Line segments T P T Q T R and T S are radii with length 3 Lines are drawn from point P to point Q and from point R to poin class=

Respuesta :

Answer:

m arc PQ=66°

Step-by-step explanation:

we know that

m arc PQ=m∠PTQ -----> by central angle (because T is the center of the circle)

m∠RTS=m arc SR ----> by central angle (because T is the center of the circle)

m arc SR=66°

so

m∠RTS=66°

Remember that

m∠PTQ ≅ m∠RTS

so

m∠PTQ=66°

therefore

m arc PQ=66°

Answer:

66 degrees

Step-by-step explanation:

Arc PQ = Arc SR

since Arc SR = 66, Arc PQ = 66

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