SOLUTION: find all the angles in a parallelogram if the 2 consecutive angles are in ration of 1:3

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Question 823435: find all the angles in a parallelogram if the 2 consecutive angles are in ration of 1:3
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

find all the angles in a parallelogram if the 2 consecutive angles are in ration of 1:3



parallelogram

1) sum of the interior angles is 360°

2) Opposite Angles are Equal

3) sum of consecutive angles is 180°

Question states***

2 consecutive angles are in ration of 1:3

Let highlight_green%28x%29  and highlight_green%283x%29 represent these angles

  x + 3x = 180°

      4x = 180°

       x = 45°

angles in this parallelogram are: 45°,135°,45° and 135°