Question

Find x and y
Show all the work

Answer 1

x = 28

y = 32

Explanation:

Non-vertical angles (top and bottom) are congruent

Thus

5x - 15 = 4x + 13

x = 28

and so each non-vertical is

5(28) -15 = 125

4(28) + 13 = 125

Diagonals bisect vertex angles (left and right) Thus we have one vertical angle as (y + y) = 2y

and another vertical angle as (y -9) + (y - 9) = 2y - 18

All the angles in a kite adds up to 360

So

125 + 125 + 2y + (2y - 18) = 360

250 + 4y - 18 = 360

4y = 128

y = 32