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prove that if a transversal intersects two parallel lines the alternate interior angles so formed are equal. |
Answer» <html><body><p><strong>Answer:</strong></p><p>A transversal EF <a href="https://interviewquestions.tuteehub.com/tag/intersects-1049868" style="font-weight:bold;" target="_blank" title="Click to know more about INTERSECTS">INTERSECTS</a> <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> <a href="https://interviewquestions.tuteehub.com/tag/lines-1074819" style="font-weight:bold;" target="_blank" title="Click to know more about LINES">LINES</a> AB and CD at P and Q respectively. ... We know that if a transversal intersects two lines such that the <a href="https://interviewquestions.tuteehub.com/tag/pair-1145723" style="font-weight:bold;" target="_blank" title="Click to know more about PAIR">PAIR</a> of alternate <a href="https://interviewquestions.tuteehub.com/tag/interior-1048275" style="font-weight:bold;" target="_blank" title="Click to know more about INTERIOR">INTERIOR</a> angles are equal, then the lines are parallel. Hence, AB║CD Proved.</p></body></html> | |