|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
30 Jun 2022, 04:00
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
79% (02:40) correct
21%
(03:17)
wrong
based on 19
sessions
History
Date
Time
Result
Not Attempted Yet
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 2104 times ]
30 Jun 2022, 04:52
Kudos
Bookmarks
Solution of the answer has been provided in the attached picture
Answer choice (D)
Answer choice (D)
Attachments
File comment: Solution of the answer has been provided in the attached picture
Answer choice (D)
Solution 1.png [ 148.4 KiB | Viewed 1147 times ]
30 Jun 2022, 06:37
Kudos
Bookmarks
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
