Answer:
x = 7
Step-by-step explanation:
Given is the figure of a kite.
Opposite sides are equal... (given)
Since, measures of the angles opposite to equal sides are equal.
Also, diagonals of a kite interests at right angles.
Therefore,
[tex]8x \degree + (5x - 1) \degree + 90 \degree = 180 \degree \\ \\ (8x + 5x - 1) \degree = 180 \degree - 90 \degree\\ \\(13x - 1) \degree = 90 \degree\\ \\ 13x - 1 = 90 \\ \\ 13x = 90 + 1 \\ \\ 13x = 91 \\ \\ x = \frac{91}{13} \\ \\ x = 7[/tex]
Therefore,
