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16-06-2021
Mathematics

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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 wont get credit class=

Respuesta :

sqdancefan sqdancefan

17-06-2021

9514 1404 393

Answer:

96°

Step-by-step 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°

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