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Please help me with this question

Please help me with this question-example-1

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Answer:

  • x = 110
  • y = 62

Explanation:

x

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

180° -x° = (60° +80°)/2

180 -70 = x . . . . . . . . . . . divide by °, add x-70

x = 110

__

y

The external angle where secants meet is half the difference of the intercepted arcs.

59° = (180° -y°)/2

118 = 180 -y . . . . . . . multiply by 2, divide by °

y = 180 -118 . . . . . add y-118

y = 62

User Richard Hulse
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