Question

The difference of the measures two adjacent
angles of a parallelogram is 50. Find the
measure of all its angles.​

Answer 1

Answer:

115, 65

Step-by-step explanation:

The total sum of angles in a parallelogram is 360

The sum of angles of 2 adjacent sides of a parallelogram = 180

let the angle be x,

So.

x + (x - 50) = 180

x + x - 50 = 180

2x = 180 + 50 = 230

x = 115

x - 50 = 65

hope it helps!

Answer 2

Step-by-step explanation:

Let the angle = X

Given that

"The difference of the measures of two adjacent measure of a parallelogram is 50"

( X - 50 )

We know that

Sum of angles in a parallelogram = 360

Sum of angles of 2 adjacent sides of parallelogram = 180

===> X + ( X - 50 ) = 180

===> X + X - 50 = 180

===> 2X - 50 = 180

===> 2X = 180 + 50

===> 2X = 230

===> X = 230 / 2

===> X = 115

So "X" value substitute in ( X - 50 )

===> X - 50

===> 115 - 50

===> 65

So , the angles are

===> 115 and 65

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