Question

If the measure of a tangent-chord angle is 54, then what is the measure of the intercepted arc inside the angle?

Answer 1

108 is the awnswer.  subtract form 360

Answer 2

m(intercepted arc) = 108°

Explanation:

As we know from tangent and chord theorem in the figure attached

∠ABC = (1/2)(m intercepted arc formed by tangent and arc)

∠ABC =
`(1)/(2)(mADB)`

`54=(1)/(2)(mADB)`

mADB = 54×2 = 108°

So the answer is measure of the intercepted arc = 108°