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Difficulty:
35%
(medium)
Question Stats:
79% (02:40) correct
21%
(03:17)
wrong
based on 19
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If If XY is parallel to QU, b = 4x, e = x + 2y, and d = 3y + 8, what is the value of h ?
A. 62°
B. 64°
C. 66°
D. 68°
E. 72°
Attachment:
1.jpg [ 23.09 KiB | Viewed 2185 times ]
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Solution of the answer has been provided in the attached picture
Answer choice (D)
Answer choice (D)
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Answer choice (D)
Solution 1.png [ 148.4 KiB | Viewed 1236 times ]
XY is parallel to QU, b = 4x, e = x + 2y, and d = 3y + 8
Now, we know that b and d are supplementary pairs so b+d = 180
4x + 3y + 8 = 180
4x + 3y = 172 : Eq 1
Also e=d (alternate interior angles)
x + 2y = 3y + 8
x - y = 8 : Eq 2
Solving both equations, we get
x = 28 and y = 20
Now, h=e (vertically opposite angles) = x + 2y = 28 + 40 = 68
Answer - D
Now, we know that b and d are supplementary pairs so b+d = 180
4x + 3y + 8 = 180
4x + 3y = 172 : Eq 1
Also e=d (alternate interior angles)
x + 2y = 3y + 8
x - y = 8 : Eq 2
Solving both equations, we get
x = 28 and y = 20
Now, h=e (vertically opposite angles) = x + 2y = 28 + 40 = 68
Answer - D
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