Question

what is the measure of angle l in parallelogram lmno? 20° 30° 40° 50° (2x)° (3x - 20)°

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite - angles are equal. So, $\angle N=\angle L$. That is, $2x = 3x - 20$.

Step2: Solve for $x$

Subtract $2x$ from both sides: $0=3x - 2x-20$. So, $x = 20$.

Step3: Find measure of $\angle L$

Substitute $x = 20$ into the expression for $\angle L$. $\angle L=(3x - 20)^{\circ}$. Then $\angle L=(3\times20 - 20)^{\circ}=(60 - 20)^{\circ}=40^{\circ}$.

Answer:

$40^{\circ}$