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

Answer:

m(intercepted arc) = 108°

Step-by-step 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 = $\frac{1}{2}(mADB)$

$54=\frac{1}{2}(mADB)$

mADB = 54×2 = 108°

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