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Difficulty:
25%
(medium)
Question Stats:
69% (00:54) correct
31%
(01:15)
wrong
based on 61
sessions
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In the parallelogram shown, what is the value of a?
(1) a = 3b
(2) a + c =270
Attachment:
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Updated on: 29 Apr 2018, 19:51
Originally posted by EgmatQuantExpert on 29 Apr 2018, 12:25.
Last edited by EgmatQuantExpert on 29 Apr 2018, 19:51, edited 1 time in total.
Last edited by EgmatQuantExpert on 29 Apr 2018, 19:51, edited 1 time in total.
Solution
Given:
• In a parallelogram a, b, and c are the angles as indicated above
To find:
• The value of angle a
Analysing Statement 1
• As per the information given in Statement 1, a = 3b
• We know, the sum of any two consecutive angles of a parallelogram is 180 degrees
- o Therefore, a + 3b = 180
- o As a = 3b, we can replace the value of b in the given equation to find the value of a
Analysing Statement 2
• As per the information given in Statement 2, a + c = 270
- o In a parallelogram the opposite angles are equal. Hence we can say that a = c
o Thus 2a = 270 and a = 135
Hence, the correct answer is option D.
Answer: D
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EgmatQuantExpert
Since this is a parallelogram, then a=c , 2a=270 => a = 135. The answer is D - both statements are sufficient
Ans. should be D as statement 2 is also sufficient to get the value of a.
Where am I wrong?
Where am I wrong?
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