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Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent-example-1

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Answer:

? = 50°

Explanation:

You want the measure of the unknown intercepted arc where chords cross at an angle of 125° intercepting one arc that is 200° and another that is unknown.

Angle at chords

The angle where the chords cross is the average of the intercepted arc measures.

(ED +VC)/2 = 125°

200° +VC = 250° . . . . . multiply by 2

VC = 50° . . . . . . . . . . subtract 200°

The unknown arc VC has measure 50°.

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