Math, asked by eshaalsaroya07, 7 hours ago

EMF and GLNH are parallel lines.
LM = LN and GÎM = 1269
Find FMN.
Give a reason for each step of your working.

Answers

Answered by sheikhfaizaan88
5

gorgeous here is yur answer

In given figure, l parallel to n and q is a transversal.

∴6a=120

o

... Corresponding angle

⇒a=

6

120

o

=20

o

Now, p parallel to q and n is a transversal.

∴4c=120

o

... Corresponding angle

⇒c=

4

120

o

=30

o

... Equation 1

Also, m parallel to n and p is a transversal.

∴4c=3b ... Corresponding angle

⇒4×30

o

=3b ... from Equation 1

⇒b=

3

120

o

=40

o

Therefore, a=20

o

, b=40

o

and c=30

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