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

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

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".

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

Originally Posted by FailInMaths

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...

3. ## 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.

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

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?

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

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.

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

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...

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

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.

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

Guys, every detail of the question is stated here accurately

9. ## 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.

10. ## 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.

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

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.

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

Thanks for confirming my doubts guys