Question

in parallelogram PQR angle S = 75° determine the measures of amgle P and angle Q​

Answer 1

In a parallelogram Opposite angles are equal...

Here angle S is 75°

Therefore angle S = angle Q

So , angle S = 75°

Also angle P = angle R -------1

We know that sum of all angles of a parallelogram is 360°

angle S + angle Q + angle P+ angle R = 360°

75 + 75 + angle P + angle P = 360 ( from 1 )

150 + 2angle P = 360

2angle P = 360 - 150

2angle P = 210

angle P = 210/ 2

angle P = 105°

Therefore angle R = 105°

I hope this helps u dear friend ^_^