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Find the angle measure show work too or I won’t get credit

Find the angle measure show work too or I won’t get credit-example-1
User Seb Rose
by
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1 Answer

3 votes

9514 1404 393

Answer:

96°

Explanation:

The relevant relations are ...

  • the sum of arcs of a circle is 360°
  • the measure of an inscribed angle is half the measure of the arc it intercepts

__

The measure of arc HPQ is ...

arc HPQ = 360° -108° -60° = 192°

Then the measure of inscribed angle QRH is ...

∠QRH = (arc QPH)/2 = 192°/2

∠QRH = 96°

User Lindydancer
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7.3k points