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Find ∠LMQ in the parallelogram LMNQ.

Find LMQ In The Parallelogram LMNQ class=

Sagot :

Answer:

29 degrees

Step-by-step explanation:

alternate interior angles are equal

The measure of angle LMQ in the parallelogram LMNQ is 29 degrees

From the diagram, we have the following parameters

  1. Angle NLQ = 100 degrees
  2. 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:

https://brainly.com/question/3050890