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Question
In the following figures, find the remaining angles of the parallelogram
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Solution
ABCD is a parallelogram.
∠A = 75°
⇒ ∠C = 75° ....(Opposite angles of a parallelogram are eequal)
Now,∠A + ∠D = 180° ....(Interior angles)
⇒ ∠75° + ∠D = 180°
⇒ ∠D = 105°
⇒ ∠B = ∠D = 105° ....(Opposite angles of a parallelogram are equal)
Thus, we have
∠B = 105°, ∠C = 75° and ∠D = 105°.
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