In the given figure, ABCD is a parallelogram in which
angle BDC = 45° and angle BAD = 75°. Then find the measure of
angle CBD and angle ADB.
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∠ BDC = ∠ DBA = 45∘ (Alternate interior angles)
∠ ADB = 180∘ - (75∘ + 45∘) = 60∘
∠ ADB = ∠ DBC = 60∘ (Alternate interior angles)
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