Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify supplementary angles

The angles are same-side interior angles, so they sum to $180^\circ$.
$$(8x+1) + (x+26) = 180$$

Step2: Simplify the left side

Combine like terms.
$$9x + 27 = 180$$

Step3: Isolate the variable term

Subtract 27 from both sides.
$$9x = 180 - 27$$
$$9x = 153$$

Step4: Solve for x

Divide both sides by 9.
$$x = \frac{153}{9}$$

Answer:

$17$