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akhilsuhag
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Hey akhil
This is a Gmat prep ques....Are you sure that the answer is C
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Difficult Geometry
Source: Beat The GMAT — Data Sufficiency |
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prateek_guy2004
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Don't look for the incorrect things that you have done rather look for remedies....
https://www.beatthegmat.com/motivation-t90253.html
https://www.beatthegmat.com/motivation-t90253.html
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akhilsuhag
- Master | Next Rank: 500 Posts
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Yeah the answer is C
I just checked!!
I just checked!!
Please press "thanks" if you think my post has helped you.. Cheers!!
If we knew the length of the angles on either side of x we could determine the value of x since all three angles would sum to 180. I'm having a hard time trying to figure out how to explain this....with out a picture. Say that both of the angles next to x can be represented by Z and Y
1. Z+X+Y=180 - straight line so the angles sum to 180
All the angels of the triangle sum to 180 as well and we know one of the angels is 90 since it's a right triangle. There for the sum of the largest triangles remaining angles is 90.
I will represent those angles as A and B.
2. A+B=90
With both pieces of information we now know that we have two isosceles triangles. on either side of x so know the properties of isosceles triangles we get the following equations
3. 2Z+A=180 z=(180-A)/2
4. 2Y+B=180 y=(180-B)/2
combining equations 3 4 and 1 we get
x+((180-A)/2)+((180-B)/2)=180
some basic algebra and we get
2x+360-(A+B)=360 from equation 2 we know A+B equals 90.
At this point we know we can solve for x so no point in going on
I believe the answer is c with 45 being the explicit answer
1. Z+X+Y=180 - straight line so the angles sum to 180
All the angels of the triangle sum to 180 as well and we know one of the angels is 90 since it's a right triangle. There for the sum of the largest triangles remaining angles is 90.
I will represent those angles as A and B.
2. A+B=90
With both pieces of information we now know that we have two isosceles triangles. on either side of x so know the properties of isosceles triangles we get the following equations
3. 2Z+A=180 z=(180-A)/2
4. 2Y+B=180 y=(180-B)/2
combining equations 3 4 and 1 we get
x+((180-A)/2)+((180-B)/2)=180
some basic algebra and we get
2x+360-(A+B)=360 from equation 2 we know A+B equals 90.
At this point we know we can solve for x so no point in going on
I believe the answer is c with 45 being the explicit answer
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GMATGuruNY
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
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prateek_guy2004
- Master | Next Rank: 500 Posts
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Mitch Hunt excellent approach ...even i thought at first glance about 180 degree straight line but then after spending sometime on it i came to a conclusion that its E.
But yes great way to solve this...........
But yes great way to solve this...........
Don't look for the incorrect things that you have done rather look for remedies....
https://www.beatthegmat.com/motivation-t90253.html
https://www.beatthegmat.com/motivation-t90253.html
