two parallel lines arwe cut by a transversal such that one of the interior angle is 57. find each of the interior angle

Dear student

Since AB is a straight line.EGA+EGB=180°   [Linear pair]57°+EGB=180°EGB=123°Since ABCD and EF is transversal.EGA=GHD=57°     [Alternate interior angle]and EGB=GHC=123°         [Alternate interior angle]
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Two parallel  lines are cut by a transversal such that one interior angle is 57 (Angle 1)
The interior angle opposite to Angle 1 is
=180-57 (co-interior angles)
=123 (Angle 2)

The angle on the same straight line of Angle 1
=123 (alternate interior angles are equal)


The angle on the same straight line of Angle 2
=57 (alternate interior angles are equal)
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