Question

Solve for x

(5x-1) 8x

Answer 1

x = 7

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,

`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 = (91)/(13) \\ \\ x = 7`

Therefore,