Ques, UU (IV)
In the given figure, if line segment AB is parallel to the line segment CD, what is the value of y?
sy
B
A
12
B
15
С
18
D
20
Answers
Important Solutions
Question Bank Solutions6366
Important Solutions2
It is given that AB is parallel to CD.
Thus,∠ABDand
∠BDC
are consecutive interior angles.
Therefore, their sum must be supplementary.
That is,
∠ABD+∠BDC=180∘
From the figure, we get:
( y + 2y + y ) + (5y) = 180°
4y+ 5y = 180°
9y = 180°
y=180°9 4y+ 5y = 180°
9y = 180°
y=180°9
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Important Solutions
Question Bank Solutions6366
Important Solutions2
It is given that AB is parallel to CD.
Thus,∠ABDand
∠BDC
are consecutive interior angles.
Therefore, their sum must be supplementary.
That is,
∠ABD+∠BDC=180∘
From the figure, we get:
( y + 2y + y ) + (5y) = 180°
4y+ 5y = 180°
9y = 180°
y=180°9 4y+ 5y = 180°
9y = 180°
y=180°9