13. In Fig., if AB||DE, ZBAC = 35°and ZCDE = 50°, find ZDCE.
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Step-by-step explanation:
Alternative Interrior Angle Property :-
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
So ZBAE is equal to ZCED and both are equal to 35° .
ZCDE + ZCED + ZDCE = 180°
50° + 35° + ZDCE = 180°
85° + ZDCE = 180°
ZDCE = 180° - 85°
ZDCE = 95°
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