Question

given ( m parallel n ), find the value of ( x ). ((8x + 12)^circ) ((10x + 6)^circ) diagram of two parallel lines cut by a transversal answer attempt 1 out of 2 ( x = ) input box submit answer

Explanation:

Step1: Identify supplementary angles

The two angles \((8x + 12)^\circ\) and \((10x + 6)^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[
(8x + 12) + (10x + 6) = 180
\]

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms:
\[
18x + 18 = 180
\]

Step3: Subtract 18 from both sides

\[
18x = 180 - 18
\]
\[
18x = 162
\]

Step4: Divide by 18

\[
x = \frac{162}{18}
\]
\[
x = 9
\]

Answer:

\(x = 9\)