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Question

In the figure, if AB = AC and AD || BC, then x, y and z are respectively = _____.


A

x=70,y=70,z=55

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B

x=70,y=55,z=55

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C

x=55,y=55,z=55

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D

x=70,y=55,z=70

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Solution

The correct option is B

x=70,y=55,z=55


AB || BC ..... (given)

z = EAD = 55° ...... (corresponding abgles)

AB = AC ..... (given)

y = z = 55° ............ (base angles of an isosceles triangle)

In ABC, x + y + z = 180° ..... (sum of angles of a triangle)

x = 180° - 55° - 55°

x = 70°


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