Question

Find x. Give reasons to justify your solution

Answer 1

Answer:  x = 28

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Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

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Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28