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HELP PLEASE

Find the value of each variable in the circle to the right. The dot represents the center of the circle

HELP PLEASE Find the value of each variable in the circle to the right The dot represents the center of the circle class=

Respuesta :

Answers:

  • a = 68.5
  • b = 90
  • c = 43

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Explanation:

a = 137/2 = 68.5

I'm using the inscribed angle theorem. This says that the inscribed angle is half that of the arc it cuts off.

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b = 90 since any inscribed angle of a semicircle is always 90 degrees (Thales Theorem). This is a useful way to create right angles if all you have are a straight edge and compass.

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Note how the arcs c and 137 form a 180 degree semicircle, which means,

c+137 = 180

c = 180-137

c = 43

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