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Naya [18.7K]
3 years ago
7

Help help pls help quick pls help help

Mathematics
2 answers:
uysha [10]3 years ago
5 0
Answer: I’m pretty sure its D) 1 1/9
yawa3891 [41]3 years ago
3 0

Answer:

d) 1 1/9

Step-by-step explanation:

hope this helps!!

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Please help me with my problem. I would really appreciate it
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M∠Q = <br> m∠R = <br> m∠S = <br><br> 40 POINTS!!!!!!!
Marizza181 [45]

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

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