Question

Find the value of x that makes y ll z

Answer 1

`\implies`The value of x = 15

Explanation:

As
`\bf{y}\parallel{z}`

`\bf \longrightarrow(10x - 22) \degree + (3x + 7) \degree = 180 \degree \\ \\ \bf \longrightarrow13x - 15 \degree = 180 \degree \\ \\ \bf \longrightarrow13x = 180 \degree + 15 \degree \\ \\ \bf \longrightarrow13x = 195 \degree \\ \\ \bf \longrightarrow x = { \cancel {(195 \degree)/(13) }} \\ \\ \bf \longrightarrow x = 15`

[It's supplementary to the adjacent interior angle and the lines are parallel.]

So, the answer is x = 15.