Question

in the figure,l parallel m,angle EFB+2x+30 degree and angle FDG=x+70 degree find the angle EFB

Answer 1

since l || m
angle EFB = angle FGD (corresponding angles)
2x+30 = x+70
x = 70-30 = 40°

angle EFB = (2x+30)° => 2(40)+30 => 80+30 => 110°

hope this helps

Answer 2

ANSWER
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LB || MD

EH is a transversal

Angle EFB = Angle FGD ( Because they both are corresponding angles )

In the question it is given
Angle EFB = 2x + 30°
Angle FGD = x + 70°

=> 2x + 30° = x + 70°

=> x = 40°


Now,

Angle EFB = 2x + 30°

Angle EFB = 2 × 40 + 30

Angle EFB = 110°

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ANSWER = Angle EFB = 110°
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