Question

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

Answer 1

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°