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

Mathematics

2 answers:

tankabanditka [31]2 years ago

7 0

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

Vikki [24]2 years ago

7 0

Answer:

(B) $y^{\circ}=110^{\circ}$

Step-by-step 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.

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