balqiisdahir44 balqiisdahir44
  • 15-07-2019
  • Mathematics
contestada

in diagram below, ab and bc are tangent to o. what is the measure of abc.

A. 46
B.67
C.42
D.92
help FAST please!!!!​

in diagram below ab and bc are tangent to o what is the measure of abc A 46B67C42D92help FAST please class=

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jdoe0001 jdoe0001
  • 16-07-2019

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eudora eudora
  • 13-08-2019

Answer:

Option A. will be the answer.

Step-by-step explanation:

It is given in the diagram attached, AB and BC are the tangents to circle O.

We have to find the measure of ∠ABC.

By the theorem,

Measure of ∠ABC which inscribed within the tangents will be [tex]=\frac{1}{2}(arcADC-arcAC)[/tex]

[tex]=\frac{1}{2}(226-134)[/tex]

[tex]=\frac{1}{2}(92)[/tex]

= 46°

Option A. will be the answer.

Answer Link

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