In a parallelogram abcd abc and acb are complementary then find angle acd
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Answer:
∠ACD = 90°
Step-by-step explanation:
In a parallelogram abcd abc and acb are complementary then find angle acd
in a Parallelogram any two adjacent angles are supplementary
=> ∠ABC + ∠BCD = 180°
∠BCD = ∠ACB + ∠ACD
Putting this in earlier
=> ∠ABC + ∠ACB + ∠ACD = 180°
given ∠ABC and ∠ACB are complementary
=> ∠ABC + ∠ACB = 90°
putting this
90° + ∠ACD = 180°
=> ∠ACD = 90°
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