Question

In the following figures, find the remaining angles of the  parallelogram

Answer 1

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°.