Question

question
given $m\parallel n$, find the value of x.
$(10x-10)^\circ$
$(5x+10)^\circ$
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(10x-10) + (5x+10) = 180$$

Step2: Simplify the equation

Combine like terms to simplify the left side.
$$15x = 180$$

Step3: Solve for x

Divide both sides by 15 to isolate x.
$$x = \frac{180}{15}$$

Answer:

$12$