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Question

In parallelogram ABCD given below:If B=40°, then find the value of
A, C and D.

A
A=140°,C=40°andD=40°
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B
A=140°,C=40°andD=140°
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C
A=40°,C=40°andD=140°
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D
A=140°,C=140°andD=40°
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Solution

The correct option is D A=140°,C=140°andD=40°
In this figure,
Given that,
B=40°.
We know that the opposite angles of a parallelogram are equal.
So, B=D
D=40°
The sum of consecutive angles of a parallelogram is equal to 180°.
As, B and C are consecutive angles,
B+C=180°
40°+C=180°
C=180°40°=140°
CandA are opposite angles,
C=A=140°

Hence, the value of
A=140°,C=140°andD=40°.

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