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What is the value of y in the figure above?

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Bunuel
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What is the value of y in the figure above? [#permalink] New post   18 Jan 2019, 00:21
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What is the value of y in the figure above?

A 30
B 40
C 45
D 60
E 100


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2019-01-18_1120.png
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Re: What is the value of y in the figure above? [#permalink] New post   18 Jan 2019, 00:38
Bunuel wrote:



both triangles BDA and ECB are right angled triangles with Pythagorean triples (3,4,5) and (5,12,13) respectively,

so both the sides AB and BC of the triangle ABC = 5, so ABC is isosceles with opposite angles = 40 each.

then \(y = 180 - (40*2) = 100\)

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Re: What is the value of y in the figure above? [#permalink] New post   18 Jan 2019, 01:16
from Pythagoras theorem AB= 5 and BC=5
hence in the tria ABC, sides AB and BC are equal so the angle created at the base will be equal
=> 180= y+40 + ACB
=> y = 100 (E)
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Re: What is the value of y in the figure above? [#permalink] New post   18 Jan 2019, 06:57
Bunuel wrote:

What is the value of y in the figure above?

A 30
B 40
C 45
D 60
E 100


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Attachment:
2019-01-18_1120.png


solve for sides we get = 5 and triangle 45:45:90
so
40 +40 + y= 180
y = 100
IMO E
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Re: What is the value of y in the figure above? [#permalink]
18 Jan 2019, 06:57
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