The relationship between ∠E and ∠K is ∠E = ∠K
Two lines are said to be parallel when they do not meet even at infinity and the distance between them always remains constant.
∠E = ∠G ( vertical angles) ∠H = ∠F ( vertical angles) ∠G = ∠K (corresponding angles) From equations i) and iii)
we get ∠E = ∠K and they are alternate exterior angles.
The measure of angle K can be found from the equation
∠K + ∠J = 180° (consecutive interior angles)
∠K = 180° - ∠J
∠K + ∠L = 180°
∠K = 180° - ∠L
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