kayleighsweet kayleighsweet
  • 09-03-2017
  • Mathematics
contestada

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

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iamking8
iamking8 iamking8
  • 09-03-2017
108 is the awnswer.  subtract form 360
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eudora eudora
  • 08-05-2019

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 = [tex]\frac{1}{2}(mADB)[/tex]

[tex]54=\frac{1}{2}(mADB)[/tex]

mADB = 54×2 = 108°

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

Ver imagen eudora
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