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Harmon Keeling

Feb 20, 2025

Given the diagram of parallelogram lmno, solve for r.

Given the diagram of parallelogram lmno, solve for r.
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7 Answers

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Jace Toy DDS

Feb 20, 2025

So here is how we are going to solve for r. In a parallelogram, given angles L and N are equal in measure, as well as angles M and O. Angles L and O are supplementary angles, as well as M and N. So the first thing we are going to do is to solve for t first.3t-15=2t+103t-2t=10+15t=25Angle O : 2t + 102(25)+10 = 60Adding L and O together gives you 180so4r+60=1804r=120r=30And 30*4=120So r = 30 and angle L = 120Hope this answers your question.... Show More
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J
Jace Toy DDS

Feb 20, 2025

I got 30. If you set M and I equal to each other and solve you get 25. If you substitute 25 for t you get 60. L and I should be supplementary so if you subtract 60 from 180 you get 120. Lastly, since you're solving for r, you need to divided 120 by 4 to get 30.... Show More
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J
Jace Toy DDS

Feb 20, 2025

< o and < m are congruent because opposite angles are congruent3t - 15 =  2t + 103t - 2t = 10 + 15t = 253t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60< m and < o are consecutive angles and they are supplementaryso they add up to 180< m + < o = 18060 + < o = 180< o = 180 - 60< o = 1203s = 120s = 120/3s = 40... Show More
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J
Jace Toy DDS

Feb 20, 2025

  given the diagram of parallelogram lmno, solve for r. a. 15 b. 25 c. 30 d. 120... Show More
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J
Jace Toy DDS

Feb 20, 2025

given the diagram of parallelogram lmno, solve for r. a. 15 b. 25 c. 30 d. 120 step-by-step explanation:... Show More
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