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Question
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
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Solution
\[\text{ Opposite angles of a parallelogram are equal } . \]
\[ \therefore \angle C = 70° = \angle A . \]
\[ \angle B = \angle D\]
\[\text{ Also, the sum of the adjacent angles of a parallelogram is } 180°. \]
\[ \therefore \angle A + \angle B = 180°\]
\[70° + \angle B = 180°\]
\[\angle B = 110°\]
\[ \therefore \angle B = 110°, \angle C = 70°\text{ and } \angle D = 110°\]
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