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Given : Figure in which k || m DS : x = z ? From figure, y = 180 -x
Option 1 : x = w SO sum of all angles of a quadrilateral = 360 -> y + w +(180 -z) + x(alternate angle) = 360 -> 180 -x + x + 180 - z + x = 360 -> x = z SUFFICIENT
Option 2 : Y = 180 - w = 180 - x -> x = w which is smae as option 1 SUFFICIENT
Answer D _________________
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Target question:Is x = z ? Before we examine the statements, let's first recognize that, since k||m, we can conclude that angles w and z are EQUAL
Okay, now onto the statements
Statement 1: x = w We already learned that w = z Statement 1 tells us that w = x Since x and z are both equal to w, it must also be true that x = z Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: y = 180 - w We can also REPHRASE this as y + w = 180 Since w = z, we can also replace w with z in the above equation to get: y + z = 180 In the diagram, we can see that since angles y and x are on the same line, then y + x = 180 Since both equations are set equal to 180, we can also write: y + z = y + x From here, we can subtract y from both sides to get z = x Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Re: In the ﬁgure shown, lines k and m are parallel to each other. Is x = z
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07 Nov 2018, 10:01
The Diagram really confused me, whether "W" was alternate angle of X or Z. How do I determine this in exams, in such cases ? do i have to see the degree symbol, which was on right side
gmatclubot
Re: In the ﬁgure shown, lines k and m are parallel to each other. Is x = z
[#permalink]
07 Nov 2018, 10:01