Justtrynapassclass
11.11.2019 •
Mathematics
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°
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Ответ:
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°
Ответ:
12 people
Step-by-step explanation: