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The figure shows that the lines AB and AC are the tangential

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by Max@Math Revolution » Tue Nov 05, 2019 12:03 am
[GMAT math practice question]

The figure shows that the lines AB and AC are the tangential lines to the circle O. What is ∠ ABC?

Image

A. 55
B. 60
C. 65
D. 70
E. 75
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by Max@Math Revolution » Wed Nov 06, 2019 11:29 pm
=>

Since AB and AC are tangent lines to the circle, we have AB = AC.
Since the triangle ABC is isosceles with AB = AC, we have ∠ ABC = (1/2)(180-∠ BAC) = 70.

Therefore, D is the answer.
Answer: D
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