question given m || n, find the value of x.
question given m || n, find the value of x.
Answer
Explanation:
Step1: Identify angle - relationship
Since (m\parallel n), the two given angles ((5x - 11)^{\circ}) and ((6x - 7)^{\circ}) are supplementary (linear - pair of angles). So, ((5x-11)+(6x - 7)=180).
Step2: Combine like - terms
[ \begin{align*} 5x-11 + 6x-7&=180\ (5x + 6x)+(-11-7)&=180\ 11x-18&=180 \end{align*} ]
Step3: Isolate the variable term
Add 18 to both sides of the equation: (11x-18 + 18=180 + 18), which simplifies to (11x=198).
Step4: Solve for (x)
Divide both sides by 11: (x=\frac{198}{11}=18).
Answer:
(x = 18)