Using the property of a kite, the value of x in the kite above is calculated as: x = 20.
How to apply the property of a kite?
A kite has two diagonals that intersect each other perpendicular, therefore, they intersect at right angles.
Thus, we have:
2x + 10 + 2x + 90 = 180 (triangle sum theorem)
4x + 100 = 180
4x = 180 - 100 (subtraction property of equality)
4x = 80
4x/4 = 80/4 (division property of equality)
x = 20