Question

given m||n, find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use property of parallel lines

Since $m\parallel n$, the two - given angles are supplementary (linear - pair of angles), so $(7x + 22)+(8x + 8)=180$.

Step2: Combine like terms

Combine the $x$ terms and the constant terms: $(7x+8x)+(22 + 8)=180$, which simplifies to $15x+30 = 180$.

Step3: Isolate the variable term

Subtract 30 from both sides of the equation: $15x+30-30=180 - 30$, resulting in $15x=150$.

Step4: Solve for x

Divide both sides by 15: $\frac{15x}{15}=\frac{150}{15}$, so $x = 10$.

Answer:

$x = 10$