In the circle below, if arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16, find x.
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Given:
Arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16,
Required:
Find x?
Explanation:
If two arcs of a circle are congruent, then corresponding chords are equal.
So,
[tex]\begin{gathered} AB=CD \\ 7x-8=x+16 \\ 6x=24 \\ x=4 \end{gathered}[/tex]Answer:
Option C is correct.