Question

PQRS is a parallelogram in which angle Q equal 75degree . find the measures of the angles angle P, angle R , angle S

Answer 1

angle P=

angle P + angle Q = 180degree
angle P + 75 degree = 180 degree
angle P = 180 - 75 degree
angle P = 105 degrew

Answer 2

hey there here is your answer..
In a parallelogram opposite angles are equal
so in PQRS parallelogram
angle Q = angle S = 75°
let other two angles be angle P = angle R = x
now we know that
sum of angles in a quadrilateral = 360°
angles (P+Q+R+S) = 360
x+75+x+75 = 360
2x + 150 =360
2x = 210
x = 105°
so angles are 105° , 75°, 105°, 75°.

Hope it helps....☺️