In the given figure, 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

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Solution

The figure is given as follows:

It is given that AB is parallel to CD.

Thus,and $∠ B D C$ are consecutive interior angles.

Therefore, their sum must be supplementary.

That is,

$∠ A B D + ∠ B D C = 180 °$

From the figure, we get:

Hence, the correct choice is (d).

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Similar questions

(a) In the figure shown below, what are the conditions on $∠ N O B$ and $∠ M P C$ that assure that line segment AB is parallel to the line segment CD? [2 MARKS]

(b)

Given line 'm' is parallel to line 'l'. Find x?

Question 3
The number of line segments in the given figure is
a) 5
b) 15
c) 10
d) 20

Q. In the given figure, points B and C divide line segment AD as shown. What is the length of the line segment whose end points are the midpoints of line segments

A B

and

C D

Q. Line segment AB is congruent to line segment CD. If the length of AB = 5m, what is the length of CD?

In the given figure, the line segment

A B

is parallel to another line segment

R S

and

O

is the midpoint of

A S

, Then

Δ A O B ≅ Δ S O R ?

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In the given figure, 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

The figure is given as follows: It is given that AB is parallel to CD. Thus,and ∠BDC are consecutive interior angles. Therefore, their sum must be supplementary. That is, ∠ABD+∠BDC=180° From the figure, we get: Hence, the correct choice is (d).

In the given figure, 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

The figure is given as follows:

It is given that AB is parallel to CD.

Thus,and $∠ B D C$ are consecutive interior angles.

Therefore, their sum must be supplementary.

That is,

$∠ A B D + ∠ B D C = 180 °$

From the figure, we get:

Hence, the correct choice is (d).