In parallelogram lmno, what is the measure of angle

Ответ:

McSporter

11.01.2022

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

Find the value of x

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

Step

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 $110\ degrees$

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