what is the measure of angle l in parallelogram lmno?\n20°\n30°\n40°\n50°

Explanation:

Step1: Set up the equation using parallelogram properties.

In a parallelogram, opposite angles are equal. Therefore, the measure of angle L is equal to the measure of angle N. $$m\angle L = m\angle N$$ $$(3x - 20)^\circ = (2x)^\circ$$

Step2: Solve the equation for x.

Subtract $2x$ from both sides and add $20$ to both sides. $$3x - 2x = 20$$ $$x = 20$$

Step3: Calculate the measure of angle L.

Substitute the value of $x$ back into the expression for angle L. $$m\angle L = (3x - 20)^\circ$$ $$m\angle L = (3(20) - 20)^\circ$$ $$m\angle L = (60 - 20)^\circ$$ $$m\angle L = 40^\circ$$

Answer:

C. $40^\circ$