Question

given l || m || n, find the value of x. (9x)° 36°

Explanation:

Step1: Use property of parallel lines

When $l\parallel m\parallel n$, the corresponding - angles are equal. Here, the angle $(9x)^{\circ}$ and the angle adjacent to the $36^{\circ}$ angle are corresponding angles. The adjacent angle to the $36^{\circ}$ angle forms a linear - pair with the $36^{\circ}$ angle. So the adjacent angle to the $36^{\circ}$ angle is $180 - 36=144^{\circ}$. Then we have the equation $9x = 144$.

Step2: Solve the equation for $x$

Divide both sides of the equation $9x = 144$ by 9. We get $x=\frac{144}{9}$.

Answer:

$x = 16$