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What is the measure of angle o in parallelogram lmno? 35° 75° 105° 155

Sagot :

The measure of angle O in the given parallelogram is equal to 105°.

As given in the question,

Given parallelogram LMNO,

As shown in the attached diagram we have,

Measure of angle L = ( x + 40 )°

Measure of angle O = (3x)°

In the parallelogram LMNO,

LM is parallel to NO .

LO is the transversal.

∠MLO and ∠NOL are interior angles and are supplementary.

m ∠MLO + m ∠NOL = 180°

⇒ ( x  + 40 )° + ( 3x )° = 180°

⇒ 4x° = 180° - 40°

⇒x = 140° / 4

⇒ x = 35°

Measure of ∠O = 3x°

                          = 3(35°)

                          = 105°

Therefore, the measure of  ∠O  in the parallelogram LMNO with the given conditions is equal to 105°.

The complete question is :

What is the measure of angle O in parallelogram LMNO?

Diagram of parallelogram LMNO is attached.

m∠O = ?

a. 35°        b. 75°               c. 105°           d. 155°

Learn more about parallelogram here

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