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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 extrapolated to point P and the value of EDP and EDB are m and n, respectively. Then, the values of m and n are ______ and _______, respectively. 


  1. z, y

  2. x, z

  3. y, z

  4. y, x


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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