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  • 02-02-2020
  • Mathematics
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What are the values of M and N? Please show all work on how you got your answer

What are the values of M and N Please show all work on how you got your answer class=

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calculista
calculista calculista
  • 08-02-2020

Answer:

Part 1) [tex]m=35^o[/tex]

Part 2) [tex]n=110^o[/tex]

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

so

step 1

Find the value of m

we know that

[tex]2m^o=70^o[/tex] ----> by opposite angles

solve for m

[tex]m=35^o[/tex]

step 2

Find the value of n

we know that

[tex]n^o+70^o=180^o[/tex] ---> by consecutive angles

so

solve for n

[tex]n=180^o-70^o[/tex]

[tex]n=110^o[/tex]

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