Question

Find the value of the variable and the measure of each angle.

Answer 1

x = 14

(3x + 6)° = 48°

4x° = 56°

(2x + 6)° = 34°

Explanation:

Given is the figure of a kite.

In a kite, diagonals intersects each other at right angles.

Therefore,

`(2x + 6) \degree + 4x \degree + 90 \degree = 180 \degree \\ \\ (2x + 6 + 4x) \degree = 180 \degree - 90 \degree \\ \\ (6x + 6) \degree = 90 \degree \\ \\ 6x + 6 = 90 \\ \\ 6x = 90 - 6 \\ \\ 6x = 84 \\ \\ x = (84)/(6) \\ \\ x = 14 \\ \\ (3x + 6) \degree = (3 * 14 + 6) \degree = 48 \degree \\ \\ 4x\degree = 4 * 14 \degree= 56 \degree \\ \\ (2x + 6) \degree = (2 * 14 + 6) \degree = 34\degree`