Question

In Fig. 8.135, if line segment AB is parallel to the line segment CD, what is the value of y?
A. 12
B. 15
C. 18
D. 20

Answer 1

Answer:

I thike answer is (D.20)

Answer 2

Option D: 20 is the value of y

Explanation:

Given that the line segment AB is parallel to the line segment CD.

We need to determine the value of y.

Since, $\angle \mathrm{ABD}$ and $\angle B D C$ are consecutive interior angles, then their sum must be supplementary.

Thus, we have,

$\angle A B D+\angle B D C=180^{\circ}$

Let us substitute the values of the angles in the figure, we get,

$(y+2 y+y)+(5 y)=180^{\circ}$

Adding the values, we get,

$9 y=180^{\circ}$

Dividing both sides by 9, we have,

$y=\frac{180^{\circ}}{9}$

$y=20^{\circ}$

Thus, the value of y is 20°

Hence, Option D is the correct answer.

Learn more:

(1) In the given figure ab parallel CF and CD parallel then find the value of x

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(2) Find the value of x and y and then show that AB||CD

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