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 $\angle$EDP and $\angle$EDB are m and n, respectively. Then, the values of m and n 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)

m = x

and

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

i.e. n = y