Question

2. In a parallelogram
parallelogram ABCD . poove that the
Two consecutive
angles is
180° .

​

Answer 1

Answer:

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Answer 2

Since ABCD is a parallelogram, AD∥B

Now,AD∥BC and transversal AB intersects them at A and B respectively.

∴∠A+∠B=180

∘

∵ Sum of the interior angles on the same side of the transversal is 180

∘

Since ABCD is a parallelogram, AB∥DC

Now,AB∥DC and transversal AC intersects them at A and C respectively.

∴∠C+∠D=180

∘

∵ Sum of the interior angles on the same side of the transversal is 180

∘

Now,AD∥BC and transversal AC intersects them at A and C respectively.

∴∠A+∠D=180

∘

∵ Sum of the interior angles on the same side of the transversal is 180

∘

Now,DC∥AB and transversal BD intersects them at B and D respectively.

∴∠B+∠D=180

∘

∵ Sum of the interior angles on the same side of the transversal is 180

∘

Hence proved.