Question

Solve:the angle sir a quadrilateral are(2x+10),(4x-10),(3x-20) and (5x-40).Shoe that the quadrilateral is a parallelogram

Answer 1

Answer:

add all the four angle

yiu will get

14x-60

we know that sum of interior angle of quadrilateral is 360

14x-60=360

14x=420

x= 420/14

x= 30

now put x in all the angles

1. 70
2. 110
3. 70
4. 110

opposite angle are equal

hence it is a parallelogram

Answer 2

Answer:

Step-by-step explanation:

Add all the four angle,

you will get,

14x-60

we know that sum of interior angle of quadrilateral =360

14x-60=360

14x=420

x= 420/14

x= 30

now put x in all the angles

70

110

70

110

As,opposite angle are equal'

hence it is a parallelogram