Question

two adjacent angle of a parallelogram are 3x-4 and 3x+16. find the value of x and hence find all the value of x and hence find all the measure of all angles​

Answer 1

Step-by-step explanation:

In a parallelogram, the sum of two adjacent angles are 180 ( because they are co interior angles)

as per the image, x = 28

so,

3x-4 = 3(28)-4

= 80

3x+16 = 3(28)+16

=100

And opposite angles in parallelogram are same..

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Answer 2

Answer:

    (3x - 4 ) + (3x + 16 ) = 180

    3x - 4 + 3x + 16 = 180

    6x + 12 = 180

    6x = 180-12

    6x = 168

    x = 168/6

    x = 28

again ,   3x-4

          = 3*28-4

          = 84-4

          = 80

again,   3x+16

         = 3*28+16

         = 84+16

         = 100

1 st angle = 3 rd angle = 80

2 nd angle = 4 th angle = 100

all angles of parallelogram are ,

  80 , 100 , 80 , 100

Step-by-step explanation: