firecookie92
firecookie92 firecookie92
  • 04-06-2020
  • Mathematics
contestada

Can someone help me with these two problems?

Can someone help me with these two problems class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 04-06-2020

Answer:

  C.  38°

  D.  30°

Step-by-step explanation:

The relevant relation in both cases is the inscribed angle measures half the measure of the arc it intercepts.

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C. Angle TSQ intercepts arc TQ, so the measure of arc TQ is 2(86.5°) = 173°. The measure of arc TR is the difference between the measures of arcs TQ and RQ, so is ...

  arc TR = 173° -135° = 38°

__

D. Inscribed angle PQR intercepts arc PR, so is half its measure.

  angle PQR = 60°/2 = 30°

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