Question

Find The Value of X

(9x-4) (5x+16)

Answer 1

`\implies`The value of x = 12°.

Explanation:

As
`{l}\parallel{m}`

The angles (9x - 4)° and (5x + 16)° are interior angle of the same side.

So,

`\bf \longrightarrow(9x - 4) \degree + (5x + 16) \degree = 180 \degree \\ \\ \bf \longrightarrow14x + 12 \degree = 180 \degree \\ \\ \bf \longrightarrow 14x = 180 \degree - 12 \degree \\ \\ \bf \longrightarrow14x = 168 \degree \\ \\ \bf \longrightarrow x = { \cancel{(168 \degree)/(14)}} \\ \\ \bf \longrightarrow x = 12 \degree`

[If two angles are interior angles of the same side, the same of them is 180°]

So, the answer is x = 12°.