Question

Opposite angles of a parallelogram are 3x-37 and x+3 , x = ? *


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Answer 1

Answer:

ANSWER

(3x - 2) = (63 - 2x) (opp angles are equal in a parallelogram)

3x+2x=63+2

5x=65

x=65/5=13

3×13−2=37

63−2×13=37

Sum of 2 angles = 74

Total sum of angles in a parallelogram = 360

360−74=286

286/2=143 ( other two angles)

Therefore angles are 37, 143 , 37 & 143.

Step-by-step explanation:

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Answer 2

Opposite angels of a parallelogram are equal.

So,

3x-37 = x+3

3x-x = 3+37

2x = 40

x = 20

Opposite angles:

3x-37 = 23

x+3 = 23

Hence,

The opposite angles of a parallelogram are 23°

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