Question

In parallelogram PQRS , ∟p = 64°, find the remaining angles

Answer 1

We know that the sum of adjacent angles of a parallelorgam is equal to 180° and that opposite angles are equal.

So, ∠P = ∠R = 64°

And
∠P + ∠Q = 180° and ∠P + ∠S = 180°
So, ∠Q = ∠S = 180° - 64°
∠Q = ∠S = 126°

So, the 4 angles of the paralleogram are, ∠P = ∠R = 64° and ∠Q = ∠S = 126°

Hope this Helped!