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Answer :

StarFire1989go

Answer:

[tex]3x - 70 = 50 + x \\ 2x = 120 \\ x = 60[/tex]

so ..

X=60

and

3x-70=180-60=110

Step-by-step explanation:

According to the theorem of exterior Angle,

Measure of Exterior angle=Sum of two OPPOSITE interior angles

Thebecksgo

Answer:

angle LKM = 110 degrees

Step-by-step explanation:

angle JKL = 180 - (3x-70) because they are supplementary angles

angle JKL + x + 50 = 180 degrees because the sum of all the interior angles of a triangle equals 180 degrees

substituting for angle JKL:

180 - (3x - 70) + x + 50 = 180

180 - 3x +70 + x + 50 = 180

simplify:

-2x = -120

x = 60 degrees

angle LKM = 3(60)-70 = 110 degrees

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