Question

In a parallelogram ABCD , angle ABC and angle ACB are complementary then find the value of angle ACD​

Answer 1

Answer:

In a Parallelogram any two adjacent angles are supplementary

=> ∠ABC + ∠BCD = 180°

∠BCD = ∠ACB + ∠ACD

=> ∠ABC + ∠ACB + ∠ACD = 180°

given ∠ABC and ∠ACB are complementary

=> ∠ABC + ∠ACB = 90°

putting this

90° + ∠ACD = 180°

=> ∠ACD = 90°

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