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2 years ago

In parallelogram LMNO, what is the measure of angle N? 50° 70° 110° 130°

Mathematics

2 answers:

belka [17]2 years ago

4 0

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L= $180$

Step $1$

Find the value of x

$(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees$

Step $2$

Find the value of angle L

m∠L $=(2x+10)$

m∠L $=(2*50+10)$

m∠L $=110\ degrees$

Remember that

m∠N=m∠L

m∠N= $110\ degrees$

therefore

the answer is

the measure of the angle N is equal to $110\ degrees$

stepan [7]2 years ago

3 0

Answer:

I hope this helps but the measure of angle N is 110°

Step-by-step explanation:

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