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□ABCD is a parallelogram. If ∠D = 80° then ∠A, ∠B, ∠C are 

A) 80°, 100°, 100° 

B) 100°, 80°, 100° 

C) 80°, 100°, 80° 

D) 100°, 80°, 80°

2 Answers

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Best answer

Correct option is (B) 100°, 80°, 100°

\(\because\) ABCD is a parallelogram.

\(\therefore\) \(\angle B=\angle D\) = \(80^\circ\)   \((\because\) Opposite angles are equal in a parallelogram)

Also \(\angle A+\angle B\) \(=180^\circ\)  (Sum of two consecutive angles is \(180^\circ\) in a parallelogram)

\(\Rightarrow\) \(\angle A\) \(=180^\circ-\angle B\)

\(=180^\circ-80^\circ=100^\circ\)

\(\Rightarrow\) \(\angle C=\angle A\) \(=100^\circ\)

Hence, \(\angle A\)\(\angle B\) and \(\angle C\) are \(100^\circ\)\(80^\circ\) and \(100^\circ\) respectively.

+1 vote
by (38.9k points)

B) 100°, 80°, 100°

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