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