Question

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

Explanation:

Step1: Identify supplementary angles

The angles $(5x+5)^\circ$ and $(6x-1)^\circ$ are supplementary, so their sum equals $180^\circ$.
$$(5x+5) + (6x-1) = 180$$

Step2: Simplify the left side

Combine like terms to simplify the equation.
$$11x + 4 = 180$$

Step3: Isolate the variable term

Subtract 4 from both sides of the equation.
$$11x = 176$$

Step4: Solve for x

Divide both sides by 11 to find x.
$$x = \frac{176}{11}$$

Answer:

$x = 16$