Question

The figure is a parallelogram.
Solve for x.

Answer 1

x = 7

Explanation:

Adjacent angles of a parallelogram are supplementary.

`\therefore \: (14x + 2) \degree + 80 \degree = 180 \degree \\ \\ \therefore \: (14x + 2) \degree = 180 \degree - 80 \degree \\ \\ \therefore \: (14x + 2) \degree = 100 \degree \\ \\ 14x + 2 = 100 \\ 14x = 100 - 2 \\ \\ 14x = 98 \\ \\ x = (98)/(14) \\ \\ x = 7`