Question

find the value of $x$.
$(8x - 16)^\circ$
$(3x + 20)^\circ$
$x = \square$

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(8x - 16) + (3x + 20) = 180$$

Step2: Combine like terms

Simplify the left-hand side of the equation.
$$11x + 4 = 180$$

Step3: Isolate the variable term

Subtract 4 from both sides.
$$11x = 180 - 4$$
$$11x = 176$$

Step4: Solve for x

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

Answer:

$16$