Question

A circle has a secant AC and a tangent AD that intersect outside of the circle. If the

measure of ZA is 29° and the measure of BD is 43°, then determine the measure of
CD.

Answer 1

CD = 101°

Explanation:

The secant- tangent angle DAB is hlf the difference of the intercepted arcs, that is

`(1)/(2)` (CD - BD ) = 29° ( multiply both sides by 2 )

CD - BD = 58°, that is

CD - 43° = 58° ( add 43° to both sides )

CD = 101°