Question

tell whether the angles are complementary or supplementary. then find the value of x.

Explanation:

Step1: Identify angle relationship

The two angles form a straight line, so they are supplementary (sum to $180^\circ$).

Step2: Set up the equation

$2x + (6x + 20) = 180$

Step3: Combine like terms

$8x + 20 = 180$

Step4: Isolate the variable term

$8x = 180 - 20$
$8x = 160$

Step5: Solve for x

$x = \frac{160}{8}$

Answer:

The angles are supplementary.
$x = 20$