Question

Adjacent angles of a parallelogram are in ratio 2:3 , find all the angles?
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Answer 1

Answer:

Let the adjacent angles of the parallelogram be 2x and 3x.

We know that sum of adjacent angles of a parallelogram is 180o.

⇒ 2x + 3x = 180o

⇒ 5x = 180o

⇒ x = 36o

Therefore, adjacent angles are 2 × 36o = 72o and 3 × 36o = 108o

We know that the opposite angles of a parallelogram are equal.

Thus, the angles of the parallelogram are 72o, 108o, 72o, 108o.

Answer 2

Answer: all angles are: 72 degree, 108 degree, 72degree and  108 degree

Step-by-step explanation: let the angles of parallelogram be 2x and 3x

                                    since, opposite angles of a parallelogram are equal

                therefore,

                            2x +3x +2x +3x = 360 (sum of angles of parallelogram is 360)

                             10x = 360

                             x = 360/10

                             x = 36

              therefore, angles in ratio = 2x = 2*36 = 72

                                                  3x = 3*36 = 108