Answer:
x = 14
(3x + 6)° = 48°
4x° = 56°
(2x + 6)° = 34°
Step-by-step explanation:
Given is the figure of a kite.
In a kite, diagonals intersects each other at right angles.
Therefore,
[tex](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 = \frac{84}{6} \\ \\ x = 14 \\ \\ (3x + 6) \degree = (3 \times 14 + 6) \degree = 48 \degree \\ \\ 4x\degree = 4 \times 14 \degree= 56 \degree \\ \\ (2x + 6) \degree = (2 \times 14 + 6) \degree = 34\degree[/tex]
