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23 May 2020, 07:04
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
92% (00:25) correct
8%
(00:33)
wrong
based on 139
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, the two straight lines intersect. What is the value of a ?
(1) c = 120
(2) b = 60
DS21257
Attachment:
1.png [ 1.07 KiB | Viewed 6153 times ]
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Siak0730
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23 May 2020, 07:31
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Bunuel
Properties of intersecting lines
-----------------------------------
1. The intersecting lines (two or more) meet only at one point always.
2. The intersecting lines can cross each other at any . This angle formed is always greater than 0o and less than 180o .
3. Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common (which is the point of intersection).
Here, ∠a and ∠c are vertical angles and are equal.
4. ∠a + ∠b = <b + <c= straight angle = 180°
statement 1: c=120
<a = <c = vertically opposite angle therefore, SUFFICIENT
statement 2: b=60
<a +<b= 180 (straight angle)
or <a = 180- <b = 180-60=120
therefore, sufficient
HENCE, D
Updated on: 17 May 2021, 07:25
Originally posted by BrentGMATPrepNow on 24 May 2020, 10:24.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:25, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:25, edited 1 time in total.
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Bunuel
Target question: What is the value of a ?
Statement 1: c = 120
Since opposite angles are equal, we know that a = c
So, if c = 120, then a = 120
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: b = 60
Since angles on a line must add to 180° we can write: a + b = 180
If b = 60, we get: a + 60 = 180
Solve to get: a = 120
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
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