Sketch a parallelogram ABCD, ∠BAC = 56°, ∠BCD = 70°, Calculate and label ∠CBA and ∠ACB.
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Hey dear here is your answer
∠BAC= 56°
∠BCD= 76°
To find : ∠CBA & ∠ACB
Solution :
∠BAC= ∠ACD (alternate interior angles)
∠BCD= ∠ACB+∠ACD
= 70° = ∠ACB + 56°
∠ACB = 14°
∠ACB + ∠BAC + ∠CBA = 180°( angle sum property)
14°+ 56° + ∠CBA = 180°
∠CBA = 180 - 70
∠CBA = 110°
hope it helps
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