Question

A circle has a secant and a tangent that intersect outside of the circle. If the measure of ∠ is 29° and the measure of is 45°, then determine the measure of

Answer 1

CD = 103°

Explanation:

The secant- tangent angle BAD is half the difference of the intercepted arcs, that is

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

CD - BD = 58°

CD - 45° = 58° ( add 45° to both sides )

CD = 103°