Respuesta :
The measure of the angle L in the parallelogram LMNO with the given conditions is equal to 40°.
As given in the question,
In the parallelogram LMNO,
Measure of angle L = (2x)°
Measure of angle O = (4x +60)°
In parallelogram LMNO,
LM is parallel to NO
And LO is the transversal
∠MLO and ∠NOL forms the interior angles
Interiors angles formed by two parallel lines are always supplementary.
m∠L + m∠O = 180°
⇒ (2x)° + (4x + 60)° = 180°
⇒ 6x° = 180° - 60°
⇒ x° = 120°/6
⇒ x° = 20°
Here, m∠L = 2x°
= 2(20°)
=40°
Therefore, the measure of angle L in the parallelogram is equal to 40°.
The complete question is :
What is the measure of angle L in parallelogram LMNO such that measure of angle L is (2x)° and measure of angle O is (4x + 60)° ?
a. 20° b. 30° c. 40° d. 50°
Learn more about parallelogram here
brainly.com/question/19187448
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