Question

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

Answer 1

Given:

Arc AB is congruent to arc CD, chord AB = 7x - 8 and chord CD = x + 16,

Required:

Find x?

Step-by-step explanation:

If two arcs of a circle are congruent, then corresponding chords are equal.

So,

`\begin{gathered} AB=CD \\ 7x-8=x+16 \\ 6x=24 \\ x=4 \end{gathered}`

Answer:

Option C is correct.