Question

In the given 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 $\angle EDP$ and $\angle EDB$ are n and m, respectively. Then, the values of n and m are ______ and _______ respectively.

• A. z, y
• B. x, z
• C. y, z
• D. y, x

Answer 1

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,

$\angle ABD$ = $\angle BDE$ (alternate interior angles)

i.e., m = x

and

$\angle BAD$ = $\angle EDP$ (corresponding angles)

i.e., n = y