The value of x in the angles formed by the diagonals of the kite ABCD is determined as 20.
How to calculate the value of x?
The value of x in the angles formed by the diagonals of the kite ABCD is calculated as follows;
The diagonals of a kite bisects each other at 90 degrees.
(2x + 10) + 2x + 90 = 180 (sum of angles in a triangle)
Simplify further to obtain the value of x as follows;
4x + 100 = 180
4x = 180 - 100
4x = 80
divide both sides by 4;
x = 80 / 4
x = 20
So the value of x is 20.