Question

Ratio of adjacent angles of a parallelogram is 4:5. Find all angles.

Answer 1

Let the angles be 4x and 5x.

We know,opposite amgles of a parallelogram are equal.


Also sum of angles of a quadrilateral=360

So,(4x+4x)+(5x+5x)=360
18x=360
x=20


Angles=4(20),5(20),4(20),5(20)
=80,100,80,100:-)

Answer 2

Hey!!!!


Let ABCD be a parallelogram

and /_ A: /_ B = 4:5

Let x be the common multiple...

Therefore,

/_ A= 4x
/_ B = 5x

Since, they are adjacent sides of parallelogram;

AB || CD

4x + 5x = 180° (co- int angles)

9x = 180°

x = 20°

Therefore,
/_A = 80°
/_ B = 100°
/_ C= 80°
/_ D= 100°


#BE BRAINLY