how do we prove that the interior angle on the same side of the transversal are 180°?
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Alternate angles form a 'Z' shape and are sometimes called 'Z angles'. ... d and f are interior angles. These add up to 180 degrees (e and c are also interior). Any two angles that add up to 180 degrees are known as supplementary angles.
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Step-by-step explanation:
When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).
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