Solution: 2x = y+30 and 3x = 180 - 2x.
Therefore, x=36 and y = 42.

Option E

2x= y+30 (Vertically opposite angles are equal)

Sum of all angles around a point = 360
2*3x + 2*2x = 360
=> 10x = 360
=> x = 36

y = 2x-30 = 72-30=42

Answer E
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Hi All,

This question is based on a few 'line rules' that you will be tested on when you take the GMAT:

1) The angles on a line add up to 180 degrees.
2) Opposite angles are equal.

While there are a couple of different ways to go about answering this question, you would likely find it easiest to deal with one variable at a time.

We know that 2X + 3X = 180, so let's start there...

5X = 180
X = 36

Next, we know that 2X = Y + 30. Plugging in the value of X, we have...

2(36) = Y = 30
72 = Y + 30
42 = Y

The question asks us for the value of Y.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
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In the figure above, the value of y is

(A) 6
(B) 12
(C) 24
(D) 36
(E) 42


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Rule : Sum of angles in a straight line is 180°

We can say that 2x + 3x = 180°
5x = 180° => x = 36°

Again using the same property that in the other straight line
3x + y + 30 = 180°
3*36° + y + 30 = 180°
y = 180 - 108 - 30 = 42°(Option E)
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We can first solve for x. Since 2x and 3x make a straight line:

2x + 3x = 180

5x = 180

x = 36

We also see that 2x = y + 30; thus:

2(36) = y + 30

72 = y + 30

42 = y

Answer: E
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