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Question

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of EDP and EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.


A

z, y

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B

x, z

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C

y, z

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D

y, x

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Solution

The correct option is D

y, x


In the diagram, it is given that the line ED is parallel to side AB of the triangle.

Therefore,

ABD = BDE (alternate interior angles)

m = x

and

BAD = EDP (corresponding angles)

i.e. n = y


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