ABCD is a quadrilateral in which AB II DC and AD II BC find b,c and d
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Answered by
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Answer:
Angle B= 130°
Angle C= 50°
Angle D= 130°
Step-by-step explanation:
It is given that AB // DC.
Let's take AD as transversal.
Now, Angle A + Angle D = 180° (Angles on the same side of the transversal are supplementary)
50° + Angle D = 180°
Angle D = 180° - 50°
Angle D = 130°
Now, It is given that AB // DC and AD // BC.
Because opposite sides are parallel,
ABCD is a parallelogram.
Now, In a parallelogram, Opposite Angles are Equal.
Therefore, Angle A = Angle C = 50°
Angle D = Angle B = 130°.
Hope this will help you.
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