Analyze the diagram below and complete the instructions that follow.
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Given the diagram of parallelogram LMNO, solve for s.
A.
20
B.
30
C.
40
D.
120
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OpenStudy (chancemorris123):
OpenStudy (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...?
OpenStudy (chancemorris123):
so i got t=5?
OpenStudy (campbell_st):
not quite
2t + 10 = 3t - 15
+15 +15
----------------
2t + 25 = 3t
-2t -2t
-------------
what is the value of t..?
OpenStudy (chancemorris123):
25=t
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OpenStudy (campbell_st):
great... so what is the size of angle O..?
OpenStudy (chancemorris123):
25 but i need to find s
OpenStudy (campbell_st):
just a minute... what is the size of angle O..?
2t + 10 = when t = 25
OpenStudy (chancemorris123):
so its 60
OpenStudy (campbell_st):
great... so the shape is a parallelogram
that means angles O and L are co-interior...
does that help you find s...?
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OpenStudy (chancemorris123):
so its 120?
OpenStudy (chancemorris123):
the answer?
OpenStudy (campbell_st):
great angle L = 120 so angle N = 120
so now you can find s
OpenStudy (chancemorris123):
no ideal?
what do i do?
OpenStudy (chancemorris123):
because there is a 3s
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OpenStudy (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