Answered

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In the circle below, if arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16, find x.

In The Circle Below If Arc AB Is Congruent To Arc CD Chord AB 7x 8 And Chord CD X 16 Find X class=

Sagot :

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.

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