The measure of angle LMQ in the parallelogram LMNQ is 29 degrees
From the diagram, we have the following parameters
- Angle NLQ = 100 degrees
- Angle MQN = 29 degrees
Also, from the diagram, angles MQN and LMQ are alternate interior angles
This means that, both angles are congruent
So, we have:
[tex]\angle LMQ = \angle MQN[/tex]
This gives
[tex]\angle LMQ = 29^o[/tex]
Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees
Read more about parallelograms at:
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