Question

In the diagram below, BD is parallel to XY. What is the value of y?

Answer 1

Interior angles are 180, so 180-70= 110.
Your answer is B.

Answer 2

(B)
`y^(\circ)=110^(\circ)`

Explanation:

Given: In the diagram, BD is parallel to XY.

To find: The value of y.

Solution:

We know that when the lines are parallel, the interior angles on the same side of the transversal are supplementary, therefore using this property, we have

`y^(\circ)+70^(\circ)=180^(\circ)`

`y^(\circ)=180^(\circ)-70^(\circ)`

`y^(\circ)=110^(\circ)`

Thus, the value of y is
`y^(\circ)=110^(\circ)`.

Hence, option (B) is correct.