In parallelogram LMNO, if angle M measures $30°$ and angle N measures $40°$, what is the measure of angle L?

• A. $140°$
• B. $50°$
• C. $40°$
• D. $30°$

Answer: (A)

Verified step by step guidance

1. Recall that in any parallelogram, opposite angles are equal. Therefore, angle L is equal to angle N, and angle M is equal to angle O.
2. Also remember that consecutive angles in a parallelogram are supplementary, meaning their measures add up to 180 degrees.
3. Given angle M = 30° and angle N = 40°, check if these values satisfy the properties of a parallelogram. Since angle M and angle N are consecutive, their sum should be 180°, but 30° + 40° = 70°, which is less than 180°, so verify the problem setup or consider the correct pairs of consecutive angles.
4. Use the property that angle M and angle N are adjacent angles in the parallelogram LMNO, so angle M + angle N should be 180°. If this is not the case, consider that the problem might be referring to different angles or that the labeling implies angle L is opposite to angle N.
5. Since angle N = 40°, and angle L is opposite to angle N, angle L also measures 40°. Thus, the measure of angle L is equal to the measure of angle N, which is 40°.