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".

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...

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.

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?

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.

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...

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.

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

Guys, every detail of the question is stated here accurately

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.

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.

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.

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

Thanks for confirming my doubts guys