in parallelogram ABCD<A=70° find the measures of <B,<C,<D
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We know that,
Opposite angles of a parallelogram are equal
Therefore Angle A=Angle C=70°(see figure)------(1)
Then, Angle B=Angle D-----(2)
Sum of angles of a parallelogram=360°
A+B+C+D=360°
Using (1) and (2),
70°+70°+B+B=360°
140°+2B=360°
2B=220°
B=110°
Angle B=Angle D=110°
Therefore,
Angle B=110°
Angle C=70°
Angle D=110°
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