Question

The adjacent angle of a parallelogram are x°and (2x + 30)°. Find all the angles of the Parallelogram.

Answer 1

as in a parrallelogram sides are parallel so sum of adjecent angles would be 180 cointerior angles

so x +2x+30=180
3x=150
x=50
let x be angle a
angle d which was adjecent will be 130

and angle c which is opposite to angle a will be 50 and angle b which is opposite to angle d will be 150

because opposite angles in a parallelogram are equal!!!

Answer 2

as we know that

the adjacent angles of parallelogram are supplymentory i.e. sum of those angles is 180

so we get equation

x + 2x + 30 = 180

3x = 180 - 30

3x = 150

x = 50

2x + 30 = 2 ( 50 ) + 30

= 100 + 30

= 130

All angles of parallelogram are 50 , 130 , 50 , 130