Question

what is the value of x? 22 21 -6 16

Explanation:

Step1: Identify supplementary angles

The angles are same-side interior angles, so they sum to $180^\circ$:
$$(5x+10) + (3x+2) = 180$$

Step2: Combine like terms

Simplify the left-hand side:
$$8x + 12 = 180$$

Step3: Isolate the variable term

Subtract 12 from both sides:
$$8x = 180 - 12$$
$$8x = 168$$

Step4: Solve for x

Divide both sides by 8:
$$x = \frac{168}{8}$$
$$x = 21$$

Answer:

21