Question

In the circle below, if arc AB is congruent to arc CD, chord AB = 16x - 2 and chord CD = 14x + 8, find x.

Answer 1

d. x = 5

Explanation:

Chords that subtend congruent arcs are congruent.

Setup

Chord lengths are the same:

AB = CD

16x -2 = 14x +8

Solution

2x = 10 . . . . . . add 2-14x

x = 5 . . . . . . . . divide by 2