Question

In a parallelogram pqrs, one is 90 degre. If all the other angle are equal, find them.

Answer 1

Let the angles be P,Q,R,S.

And angle P be 90 degrees.

According to the given condition

Angle Q = Angle R = Angle S.

As we know that sum of all angles of a quadrilateral is 360 degrees.

Therefore

Angle P + Angle Q + Angle R + Angle S = 360

90 + Q + Q + Q = 360

3Q = 270

Q = 90

Therefore R = 90 and S = 90.

Answer 2

Given angle =>p, q, r, s
So
According to the question
One is of 90 °
So
Let the
P=>90
Then
All left Angle are equal
So
Let the angle q, r, s=>x
So
90+x+x+x=360 ( sum of a quadrilateral)
90+3x=360
3x=360-90
3x=270
X=270/3
X=90


So
1 angle =>90
2angle =>90
3 angle =>90
4 angle=>90




I hope this will help you
By DEVANSH