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Find the value of X.

Find the value of X.-example-1

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9514 1404 393

Answer:

x = 6

Explanation:

Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...

arc AB = arc CE

21x -9 = 90 +27

21x = 126 . . . . . . add 9, collect terms

x = 6 . . . . . . . divide by 21

User Lucas Holt
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