# Calculate the values of x and y (Question on angle)

• Sep 26th 2011, 02:55 AM
FailInMaths
Calculate the values of x and y (Question on angle)
http://i1099.photobucket.com/albums/.../Photo0014.jpg

Additional information: The diagram shows a rhombus PQRS. Calculate the values of x and y.

Can I assume that both are isosceles triangle? Even if it is, I calculated and found out that the answers are not constant

How should I go around to solve this?

Thanks

P.S Sorry that the picture is blurred, but the numbers are, "5x-20", "2x+13", "3x", "y".
• Sep 26th 2011, 03:18 AM
Prove It
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by FailInMaths
http://i1099.photobucket.com/albums/.../Photo0014.jpg

Additional information: The diagram shows a rhombus PQRS. Calculate the values of x and y.

Can I assume that both are isosceles triangle? Even if it is, I calculated and found out that the answers are not constant

How should I go around to solve this?

Thanks

P.S Sorry that the picture is blurred, but the numbers are, "5x-20", "2x+13", "3x", "y".

It should be obvious that opposite angles in a rhombus are equal...
• Sep 26th 2011, 03:25 AM
emakarov
Re: Calculate the values of x and y (Question on angle)
I get that the sum of two angles adjacent to one side is not 180 degrees, though.
• Sep 26th 2011, 03:26 AM
Prove It
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by emakarov
I get that the sum of two angles adjacent to one side is not 180 degrees, though.

Can you see that 2x + 13 = 5x - 20?
• Sep 26th 2011, 03:28 AM
emakarov
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by Prove It
Can you see that 2x + 13 = 5x - 20?

Yes, I am saying that after finding x, this does not seem to be a rhombus.
• Sep 26th 2011, 03:29 AM
Prove It
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by emakarov
Yes, I am saying that after finding x, this does not seem to be a rhombus.

It's a rhombus because you're told it's a rhombus...
• Sep 26th 2011, 03:34 AM
emakarov
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by Prove It
It's a rhombus because you're told it's a rhombus...

I have a problem for you: the three angles of a triangle are 70 + x, 80 +x and 90 + x degrees. Find x.
• Sep 26th 2011, 04:10 AM
FailInMaths
Re: Calculate the values of x and y (Question on angle)
Guys, every detail of the question is stated here accurately
• Sep 26th 2011, 04:16 AM
emakarov
Re: Calculate the values of x and y (Question on angle)
Well, from 2x + 13 = 5x - 20 and y = 3x we get x = 11 and y = 33, so angle P + angle Q = 35 + 66 = 101, whereas in a rhombus it should be 180.
• Sep 26th 2011, 04:22 AM
Re: Calculate the values of x and y (Question on angle)
The diagram is just a "typical" rhombus (or should it read parallelogram ?),
just not the shape in question.
• Sep 26th 2011, 04:22 AM
Plato
Re: Calculate the values of x and y (Question on angle)
Quote:

Originally Posted by emakarov
Well, from 2x + 13 = 5x - 20 and y = 3x we get x = 11 and y = 33, so angle P + angle Q = 35 + 66 = 101, whereas in a rhombus it should be 180.

All my calculations agree with the above.
This problem contains inconsistent data.
• Sep 26th 2011, 05:33 AM
FailInMaths
Re: Calculate the values of x and y (Question on angle)
Thanks for confirming my doubts guys