Question

Adjacent angles of a parallelogram are (3x - 150°) and (2x +50°) . Find all angles of the parellelogram.

Answer 1

Answer:

In a Parallelogram Opposite angles are equal therefore the other two angles are ( 3x-150 degree) and (2x+50 degree)

we also know that sum of all angles of a Parallelogram  is 360 degrees

hence,

2(3x-150 degree)  2( 2x+50 degree)  ( we multiply 2 because opposite angles are equal)

6x-300+4x+100 =360

10x - 200= 360

10x=360+100

10x=460

x=460/10

x=46

so angles are 46 ,  46 and 92 , 92

Step-by-step explanation: