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Question

In the given isosceles triangle ABC, AB = AC, ABC = 70°. Find BAC.


A

50

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B

40

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C

60

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D

45

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Solution

The correct option is B

40


Since ABC is an isosceles triangle, two sides of the triangle will be equal.
From the question, AB = AC

Hence, the base angles will be equal.
ABC = ACB = 70

BAC + ABC + ACB = 180 ( Angle sum property of a triangle)
BAC+70°+70°=180°
BAC = 180 - 70 - 70
BAC = 180 - 140
BAC = 40

Hence, the value of BAC = 40°.


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