Yonder Yonder
  • 14-11-2024
  • Mathematics
High School

2. Find mzR and mzS.

89°

R

157 T

Р

2 Find mzR and mzS 89 R 157 T Р

Answer :

reeserl reeserl
  • 28-02-2024

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

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