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Sub 505 (Easy)|   Geometry|      
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Bunuel
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In the figure above (not drawn to scale), the lines L and P are parall 23 Dec 2014, 09:55
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C
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Tough and Tricky questions: Word Problems.




In the figure above (not drawn to scale), the lines L and P are parallel, and the lines AD and BC are parallel. If angle BAD equals (3x + 3) degrees, and angle ABC equals (2x + 7) degrees, what is the value of x?

A. 15
B. 24
C. 34
D. 45
E. 60



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C
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beattheheat
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In the figure above (not drawn to scale), the lines L and P are parall 23 Dec 2014, 10:25
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Angle BAD + Angle ABC = 180
(3x + 3) + (2x + 7) = 180
==> x = 34, Answer C
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In the figure above (not drawn to scale), the lines L and P are parall 23 Dec 2014, 21:38
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Bunuel

Tough and Tricky questions: Word Problems.




In the figure above (not drawn to scale), the lines L and P are parallel, and the lines AD and BC are parallel. If angle BAD equals (3x + 3) degrees, and angle ABC equals (2x + 7) degrees, what is the value of x?

A. 15
B. 24
C. 34
D. 45
E. 60


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Since it is parallelogram ABC + BAD = 180 = > 3X+3+2X+7 = 180 => 5X = 170 => X = 34

ANS C
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In the figure above (not drawn to scale), the lines L and P are parall 24 Dec 2014, 02:06
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Answer = C. 34

Refer diagram below:

Attachment:
2014-12-23_2054.png
2014-12-23_2054.png [ 3.8 KiB | Viewed 5952 times ]

There sum has to be 180

3x+3+2x+7 = 180

x = 34
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In the figure above (not drawn to scale), the lines L and P are parall 25 Dec 2014, 05:01
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Sum of the given 2 angles is 180 degree as it is a parallelogram.

Hence 3x + 3 +2x+7=180 ==> x=34. hence answer c.
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In the figure above (not drawn to scale), the lines L and P are parall 08 Jan 2015, 07:58
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Bunuel

Tough and Tricky questions: Word Problems.




In the figure above (not drawn to scale), the lines L and P are parallel, and the lines AD and BC are parallel. If angle BAD equals (3x + 3) degrees, and angle ABC equals (2x + 7) degrees, what is the value of x?

A. 15
B. 24
C. 34
D. 45
E. 60


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OFFICIAL SOLUTION:

(C) There are two bits of information that the reader must be familiar with before undertaking this problem. The first is to be comfortable solving systems of linear equations; and, the second is to know some things about parallel lines and transversals (lines that cut through parallel lines).

Essentially, there are two angles at play here (no pun intended). The first is that angles that are on alternate interior sides of the transversal (angles like BAD and ADP) are equal. And, angles that are on the same side are supplementary. As you know supplementary angles are angles whose sum is equal to 180°. We can set up and solve the following equation for x: (3x + 3) + (2x + 7) = 180. We can reduce this equation by combining like terms and rewrite it as: 5x = 170. Clearly, we can reason that x = 34, or answer choice (C).
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In the figure above (not drawn to scale), the lines L and P are parall 02 May 2016, 04:56
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quadrilateral ABCD is actually a parallelogram as it lies between a pair of parallel lines
\(\angle\) BAD and \(\angle\) ABC are supplementary
supplementary angles means a total of \(180^{\circ}\)
so \((3x+3)\) + \((2x+7)\) = 180
\(5x\)=180 - 10
\(x\) = 34
correct answer - C
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In the figure above (not drawn to scale), the lines L and P are parall 19 Sep 2020, 08:43
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Bunuel

Tough and Tricky questions: Word Problems.




In the figure above (not drawn to scale), the lines L and P are parallel, and the lines AD and BC are parallel. If angle BAD equals (3x + 3) degrees, and angle ABC equals (2x + 7) degrees, what is the value of x?

A. 15
B. 24
C. 34
D. 45
E. 60


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\(3x + 3 + 2x + 7 = 180\)

Or, \(5x = 170\)

Or, \(x = 34\), ANswer is (C)
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