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In the figure above, if 5x = 4y then what is the value of y
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28 Apr 2020, 09:55
28 Apr 2020, 09:55
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In the figure above, if 5x = 4y then what is the value of y ?
A. 25
B. 50
C. 60
D. 80
E. 100
Kudos for the right answer and explanation
Kudos for the right answer and explanation
Re: In the figure above, if 5x = 4y then what is the value of y
[#permalink]
28 Apr 2020, 13:11
28 Apr 2020, 13:11
2
If 4y = 5x then it means that the vertically opposite angles are equal i.e. \(\angle EOF = \angle BOC\)
Now, AD is a straight line so sum of all the angles = 180.
\(\angle AOB + \angle BOC + \angle COD = 180\)
\(x+5x + 3x = 180\)
\(9x = 180\)
\(x = 20\)
\(5x = 4y\) so, \(100 = 4y\) and \(y = 25\)
OA, A
Now, AD is a straight line so sum of all the angles = 180.
\(\angle AOB + \angle BOC + \angle COD = 180\)
\(x+5x + 3x = 180\)
\(9x = 180\)
\(x = 20\)
\(5x = 4y\) so, \(100 = 4y\) and \(y = 25\)
OA, A
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Re: In the figure above, if 5x = 4y then what is the value of y
[#permalink]
08 Sep 2022, 10:50
08 Sep 2022, 10:50
Refer below Image. Let the highlighted angle be z
img.png [ 26.61 KiB | Viewed 3216 times ]
We know that Opposite angles are equal and z and 4y are opposite to each other
=> z = 4y
We know that Sum of angles in a line = 180°
=> x + z + 3x = 180°
=> x + 4y + 3x = 180°
=> 4x + 4y = 180°
=> x + y = \(\frac{180°}{4}\) = 45°
=> x = 45° - y
Also, we know that 5x = 4y
=> 5*(45° - y) = 4y
=> 225° = 9y
=> y = \(\frac{225°}{9}\) = 25°
So, Answer will be A
Hope it helps!
Attachment:
img.png [ 26.61 KiB | Viewed 3216 times ]
We know that Opposite angles are equal and z and 4y are opposite to each other
=> z = 4y
We know that Sum of angles in a line = 180°
=> x + z + 3x = 180°
=> x + 4y + 3x = 180°
=> 4x + 4y = 180°
=> x + y = \(\frac{180°}{4}\) = 45°
=> x = 45° - y
Also, we know that 5x = 4y
=> 5*(45° - y) = 4y
=> 225° = 9y
=> y = \(\frac{225°}{9}\) = 25°
So, Answer will be A
Hope it helps!
