Question

given ( l parallel m parallel n ), find the value of ( x ).
( (5x + 15)^circ )
( (6x + 8)^circ )
answer
attempt 1 out of 2
( x = )
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Explanation:

Step1: Identify supplementary angles

The angles $(5x+15)^\circ$ and $(6x+8)^\circ$ are same-side interior angles, so they are supplementary (sum to $180^\circ$).
$$(5x+15) + (6x+8) = 180$$

Step2: Combine like terms

Add the variable terms and constant terms.
$$11x + 23 = 180$$

Step3: Isolate the variable term

Subtract 23 from both sides.
$$11x = 180 - 23$$
$$11x = 157$$

Step4: Solve for x

Divide both sides by 11.
$$x = \frac{157}{11}$$

Answer:

$x = \frac{157}{11}$ or $x \approx 14.27$