Question

The diagram shows a parallelogram.

2x
3х - 15

(2x+24
2x
Work out the value of x.

Answer 1

x = 39

Explanation:

Consecutive angles of a parallelogram are supplementary.

`\implies \: 2x \degree + (2x + 24) \degree = 180 \degree \\ \\ \implies \: (2x + 2x +24) \degree = 180 \degree \\ \\ \implies \: (4x +24) \degree = 180 \degree \\ \\ \implies \: 4x +24 = 180 \\ \\ \implies \: 4x = 180 - 24 \\ \\ \implies \: 4x = 156\\ \\ \implies \: x= (156)/(4) \\ \\ \implies \: \huge \: x = 39\\ \\`