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Find The Value of X

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

Find The Value of X (9x-4) (5x+16)-example-1

1 Answer

3 votes

Answer:


\impliesThe 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°.