Question

the sum of 2 opposite angles of a parallelogram is 140 degrees. find all the angles of the parallelogram

Answer 1

Answer:

since opp. angles of a parallelogram is equal.

therefore,

let the angle be x

thus,

x+x=140

2x=140

x=70°

co interior angles are supplimentary,

thus,

x+y=180

y=180-70

y=110°

opp. angles are equal thus,

fourth angle =110°

1st angle=70

2nd angle=70

3rd angle =110°

Answer 2

Step-by-step explanation:

In a parallelogram, The opposite angles are

equal.

Let the angles of the parallelogram be x,y.

The sum of the angles of a quadrilateral is 360°

x+y+x+y = 360°

x+x=140°

140°+y+y=360°

2y=120°

y=60°

Therefore, the angles of the parallelogram are 70°, 60°, 70°, 60°

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