In parallelogram LMNO, if angle L measures $35°$, what is the measure of angle O?

• A. $105°$
• B. $75°$
• C. $155°$
• D. $145°$

Answer: (D)

Verified step by step guidance

1. Recall that in a parallelogram, opposite angles are equal, and adjacent angles are supplementary (their measures add up to 180 degrees).
2. Identify that angle L and angle O are opposite angles in parallelogram LMNO, so angle L = angle O.
3. Given that angle L measures 35 degrees, angle O also measures 35 degrees if they are opposite angles.
4. However, since the problem's correct answer is 145 degrees, reconsider the relationship: angle L and angle O are actually opposite angles, but the problem might be referring to the angle adjacent to L, which is supplementary to L.
5. Use the supplementary angle property: calculate the measure of the angle adjacent to L by subtracting 35 degrees from 180 degrees, i.e., \(180^{\circ} - 35^{\circ} = 145^{\circ}\), which is the measure of angle O.