Question

Given: circle O with tangent AB mBC= 2x -16; mCD = x+40; mDE = x; mEB = 60

find the x

Answer 1

69

Explanation:

All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

(2x - 16) + (x + 40) + x + 60 = 360

4x + 84 = 360

4x = 276

x = 69