Question

If adjacent angle A and B of parallelogram ABCD are in the ratio 7.5, then find all the angle of parallelogram

Answer 1

As Adjacent angles of a parallelogram gives sum of 180° because the sides

of a parallelogram are parallel to opposite sides.

Let the unknown common factor in angles of 7:5 be x.

Then,  7 x + 5 x = 180°

                  12 x = 180°

                       x = 180°/12

                       x = 15°
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Then the angles are respectively as follows ∠A = 7(15°) = 105°

                                                                      ∠B = 5(15°) = 75°

                                                                      ∠C = 7(15°) = 105°

                                                                      ∠D = 5(15°) = 75°
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