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.

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 class=

Respuesta :

Answer:

CD = 101°

Step-by-step explanation:

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

[tex]\frac{1}{2}[/tex] (CD - BD ) = 29° ( multiply both sides by 2 )

CD - BD = 58°, that is

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

CD = 101°