Question

find the value of x for which l is parallel to m. the diagram is not to scale. (3x - 43)° 80° 80 123 100 41

Explanation:

Step1: Use corresponding - angles property

When $l$ is parallel to $m$, the corresponding angles are equal. So, $3x - 43=80$.

Step2: Solve the equation for $x$

Add 43 to both sides of the equation: $3x=80 + 43$, which simplifies to $3x=123$.

Step3: Isolate $x$

Divide both sides of the equation $3x = 123$ by 3: $x=\frac{123}{3}=41$.

Answer:

41