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2 years ago

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

Mathematics

2 answers:

ser-zykov [4K]2 years ago

7 0

108 is the awnswer. subtract form 360

algol132 years ago

5 0

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°

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