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In the figure above, what does x + y equal?

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Bunuel
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In the figure above, what does x + y equal? [#permalink] New post   22 May 2020, 06:27
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In the figure above, what does x + y equal?

A. 315
B. 270
C. 225
D. 180
E. It cannot be determined from the information given.


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Re: In the figure above, what does x + y equal? [#permalink] New post   22 May 2020, 06:40
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Bunuel wrote:

In the figure above, what does x + y equal?

A. 315
B. 270
C. 225
D. 180
E. It cannot be determined from the information given.


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1.png


Solution


    • Using the properties of straight angle, we can write the two angles of the triangle as below:

    • Since, in a triangle, the sum of all three interior angles = 180°
      o This means, 90° + (180 – x)° + (180 -y)° = 180°
        ⟹ x+ y = 270
Thus, the correct answer is Option B.
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hiranmay
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Re: In the figure above, what does x + y equal? [#permalink] New post   22 May 2020, 06:42

In the figure above, what does x + y equal?

A. 315
B. 270 --> correct: (180-x)+(180-y)=90 => x+y=360-90=270
C. 225
D. 180
E. It cannot be determined from the information given.
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BrentGMATPrepNow
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In the figure above, what does x + y equal? [#permalink] New post   22 May 2020, 07:02
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Bunuel wrote:

In the figure above, what does x + y equal?

A. 315
B. 270
C. 225
D. 180
E. It cannot be determined from the information given.


Show Spoiler
Attachment:
1.png



Let's add two additional angles to the triangle to get:


Since angles in a triangle add to 180°, we can write: a + b+ 90 = 180
Subtract 90° from both sides of the equation to get: a + b = 90

Since angles on a line add to 180 degrees, we can write: x + a = 180
Subtract a from both sides to get: x = 180 - a

Likewise, y + b = 180
Subtract b from both sides to get: y = 180 - b

What does x + y equal?
x + y = (180 - a) + (180 - b)
= 360 - a - b
= 360 - (a + b)
= 360 - (90)
= 270

Answer: B

Cheers,
Brent
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Re: In the figure above, what does x + y equal? [#permalink] New post   22 May 2020, 07:10
Expert Reply
Bunuel wrote:

In the figure above, what does x + y equal?

A. 315
B. 270
C. 225
D. 180
E. It cannot be determined from the information given.


Show Spoiler
Attachment:
1.png


((180-x) + (180-y) = 90

i.e. x+y = 270

Answer: Option B
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Re: In the figure above, what does x + y equal? [#permalink] New post   10 Aug 2022, 04:25
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Re: In the figure above, what does x + y equal? [#permalink]
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