Question

Y - 4
X+5
2x + 5
X + 12
Find the values of the variables in this kite.

Answer 1

x = 7 y = 16

Explanation:

The dashes on the lines show they are equal in length.

So y - 4 = x + 5

and 2x + 5 = x + 12

Rearrange 2x + 5 = x + 12 and solve for x:

collect like terms: 2x - x = 12 - 5

x = 7

Now substitute the found value of x into y - 4 = x + 5 and solve for y:

y - 4 = x + 5

Substitute x=7: y - 4 = 7 + 5

Add 4 to each side: y = 7 + 5 + 4

y = 16