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Find the line BC A.) 98 degrees B.) 30 degrees C.) 96 degrees D.) 136 degrees

Find the line BC A.) 98 degrees B.) 30 degrees C.) 96 degrees D.) 136 degrees-example-1
User Raydot
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3 votes

Answer:

C

Explanation:

the tangent- chord angle CED is half the measure of its intercepted arc CE

then

CE = 2 × ∠ CED = 2 × 68° = 136°

the sum of the arcs in a circle = 360° , that is

EB + BC + CE = 360°

128° + BC + 136° = 360°

BC + 264° = 360° ( subtract 264° from both sides )

BC = 96°

User Zanussi
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