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musickatia [10]
3 years ago
6

Write a two-column proof for the following conjuncture. You may not need to use all of the rows of the two-column table provided

below. You may also add additional rows if needed given parallelogram ABCD
(Given 7 Columns on Assignment)

Prove: angle A and angle B are supplementary
Angle B and angle C are supplementary.​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

Given ABCD be a parallelogram

Then, AD // BC and AB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠A + ∠B = 180°

∴ Angle A and angle B are supplementary.

<u>Also</u>,

AB // CD and CB is a transversal.

Because of the sum of the interior angles on the same side of the transversal is 180°

So, ∠B + ∠C = 180°

∴ Angle B and angle C are supplementary.

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