in the adjoining figure, triangle AOB is congruent to triangle DOC. prove that AB is parallel to CD
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- Triangle AOB congruent to Triangle DOC (given)
- So, angle BAO = angle ODC
- While consedering the lines AB and CD and AD as the transversal these two angles forms the alternate interior angles
- Similarly taling the lines AB and CD and BC as the transversal angle C = angle B
- Therefore as the pairs of alternate interior angles are equal the two lines AB and CD are parallel....
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