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Step-by-step explanation:
Given a parallelogram ABCD in which
∠ B - ∠ A = 40° --------------------(1).
But, we know adjacent angles in a parallelogram are supplementary
Hence, ∠ B + ∠ A = 180° -------(2)
From (1) and (2) , we get
∠ B = 110° and ∠ A = 70°.
Also, we know that opposite angles in a parallelogram are equal.
Hence, ∠ C = ∠ A = 70° and
∠ D = ∠ B = 110°
Thus the angles of parallelogram in order are 110°, 70°, 110°, 70°.
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