Question

HELP PLEASE

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

Answer 1

Answers:

• a = 68.5
• b = 90
• c = 43

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Step-by-step 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