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AB is the transversal for BC and CD.
We know that the sum of two Co-interior angles on the same side of the transversal = 180°
Given,
<A = 4x
<B = 5x
According to the question,
<A + <B = 180°
4x + 5x = 180°
9x = 180°
x = 180°/9
x = 20°
<A = 4×20° = 80°
<B = 5×20° = 100°
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