Question

given $m\parallel n$, find the value of x.
answer attempt 1 out of 2

Explanation:

Step1: Identify supplementary angles

The angles $(9x-21)^\circ$ and $(8x-3)^\circ$ are same-side interior angles, so they are supplementary (sum to $180^\circ$).
$$(9x-21) + (8x-3) = 180$$

Step2: Combine like terms

Simplify the left-hand side of the equation.
$$17x - 24 = 180$$

Step3: Isolate the variable term

Add 24 to both sides of the equation.
$$17x = 180 + 24$$
$$17x = 204$$

Step4: Solve for x

Divide both sides by 17.
$$x = \frac{204}{17}$$

Answer:

$12$