Question

40°
30
In the adjoining parallelogram ABCD, determine the values of a, b and c.
Give reasons in support of your answer.
B.​

Answer 1

Here, x=180°−100°=80°x=180°-100°=80°

As opposite angles are equal in a parallelogram

So, y=100°y=100° and z=80°

(a) AD = Opposite Sides are equal

(b) Angle DCB = Opposite angles are equal

(c) OC = Diagonals bisect each other

(d) Angle DAB + angle CDA = 180°

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Answer 2

Answer:

a = 30° Alternate interior angle

c + 70° = 180° Lines are parallel

c = 110°

b=c Opposite angle of parallelogram

b= 110°