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Ivenika [448]
3 years ago
13

In parallelogram lmno what is the measure of angle m ? 206080100

Mathematics
2 answers:
Stella [2.4K]3 years ago
5 0
It is 80. Opposite angles in a parallelogram are equal.
melamori03 [73]3 years ago
3 0

Answer: Value of angle M i.e. ∠M is 80° .

Step-by-step explanation:

Since we have given that

MNOL is a parallelogram and we know that opposite angles are equal .

So, According to question, we have

3x+40=5x\\\\40=5x-3x\\\\40=2x\\\\\frac{40}{2}=x\\\\20=x

So,\ \angle N= 5x=5\times 20=100\textdegree

Similarly,

\angle L= 3x+40=3\times 20+40=60+40=100\textdegree

Now, we know that "Interior angle on the same side of the transversal is supplementary ":

\angle M+\angle N=180\textdegree\\\\\angle M+100\textdegree=180\textdegree\\\\\angle M=180\textdegree-100\textdegree\\\\\angle M=80\textdegree

Hence, value of angle M i.e. ∠M is 80° .

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