Circle O has tangent AB and secant AC as shown. arc BC measures 4x+2-. arc BE measures 2x-10. What is the measure of arc CB
1 answer:
Answer:
b. 160°
Step-by-step explanation:
angle A = (far arc - near arc)/2
far arc is arc BC and near arc is arc BE. Replacing into the equation:
∠A = (arc BC - arc BE)/2
50 = [4x + 20 - (2x - 10)]/2
50*2 = 2x + 30
x = (100 - 30)/2
x = 35°
Replacing this information into arc BC equation:
arc BC = 4(35) + 20 = 160°
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Step-by-step explanation:
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Step-by-step explanation:
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Keywords: Linear equations, Variables
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