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One of the angles of a parallelogram is 36° greater than another one. Find the angles of the parallelogram.

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Answer:

The answer is 72, 72, 108, and 108 degrees. Verified answer

Step-by-step explanation:

We know that one angle is 36 degrees greater than the other.

x; x+36

We know that x+x+36=180,

and 2x=144; x=72

We know that one angle is 72 degrees. Now we add 36 to 72, in order to find the angle that is 36 degrees more than 72. The answer is 108 degrees. Now because of the theorem, we know that the angle opposite of an angle is congruent, so the answer is 72,72, 108, and 108.

Hope you found this helpful!

The angles of the parallelograms are 108°, 108°, 72° and 72°.

Properties of a parallelogram

  • Opposite angles are equal to each other
  • opposite sides are equal
  • opposite sides are parallel
  • sum of the angle of a parallelogram is 360 degrees.

One of the angle is 36 degrees greater than another one. Therefore,

let

x = the other angle

Therefore,

x + 36 = one angles

Then,

2x + 2(x + 36) = 360

2x + 2x + 72 = 360

4x + 72 = 360

4x = 360 - 72

4x = 288

x = 288 / 4

x = 72

The other angle = 72 + 36 = 108 degrees.  

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