Question

Given the diagram of parallelogram LMNO, solve for r.

Answer 1

In a parallelogram, your in particular, angle L and angle N are equal in measure, and angle O and angle M are equal in measure. We also know that angle L and angle O are supplementary, and that angle M and angle N are supplementary. so let's solve for t first, then we can use that to find r. Ok?

Answer 2

3t-15=2t+10
t=25

Answer 3

So angle O is equal to 2(25)+10 which is 60.

Answer 4

Adding L and O together gives you 180, so
4r+60=180
4r=120
r=30
And 30*4=120
So r = 30 and angle L is 120

Answer 5

Thank you

Answer 6

You bet! TY for the medal!

Answer 7

I see someone almost disagreed with me...lol