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||GIVEN||
- ABCD is a Parallelogram
- ∠BAD = 50°
||TO FIND||
- Value of x,y,z
||SOLUTION||
WKT
- Adjacent Angles of a Parallelogram are equal.
∠BAD+∠ADC = 180°
50°+∠ADC = 180°
∠ADC = 180°-50°
∠ADC = 130°
WKT
- Opposite Angles of a Parallelogram are equal.
∠ADC = ∠ABC
∠ABC = 130°
As, AB||DC & BE as transversal.
∠ABC = ∠DCE
∠DCE = 130°
Properties of Parallelogram:-
- Two pair of opposite sides are equal and parallel.
- Diagonals bisect each other at a point.
- Opposite Angles are equal and adjacent angles are supplementary.
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