chancemorris123
  • chancemorris123
Analyze the diagram below and complete the instructions that follow. / Given the diagram of parallelogram LMNO, solve for s. A. 20 B. 30 C. 40 D. 120
Mathematics
chestercat
  • chestercat
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chancemorris123
  • chancemorris123
campbell_st
  • campbell_st
opposite angles in a parallelogram are equal... so look at the angles containing t 2t + 10 = 3t - 15 solve for t then calculate the size of the angle... does that make sense...?
chancemorris123
  • chancemorris123
so i got t=5?

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campbell_st
  • campbell_st
not quite 2t + 10 = 3t - 15 +15 +15 ---------------- 2t + 25 = 3t -2t -2t ------------- what is the value of t..?
chancemorris123
  • chancemorris123
25=t
campbell_st
  • campbell_st
great... so what is the size of angle O..?
chancemorris123
  • chancemorris123
25 but i need to find s
campbell_st
  • campbell_st
just a minute... what is the size of angle O..? 2t + 10 = when t = 25
chancemorris123
  • chancemorris123
so its 60
campbell_st
  • campbell_st
great... so the shape is a parallelogram that means angles O and L are co-interior... does that help you find s...?
chancemorris123
  • chancemorris123
so its 120?
chancemorris123
  • chancemorris123
the answer?
campbell_st
  • campbell_st
great angle L = 120 so angle N = 120 so now you can find s
chancemorris123
  • chancemorris123
no ideal? what do i do?
chancemorris123
  • chancemorris123
because there is a 3s
campbell_st
  • campbell_st
well angle N has a measure of 120 and it showns angle N is also 3s so equating them 3s = 120 can you solve for s
chancemorris123
  • chancemorris123
oh 120/3
chancemorris123
  • chancemorris123
you think you can help me with one more?

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