Question
If ABCD is a parallelogram, then which of the following is true?
Answer: Option C
:
C
In a parallelogram, the adjacent sides and anglesare not equal and no sides are perpendicular to other.
∠A+∠B=130∘+50∘=180∘
Here, ∠A and ∠B are co-interior angles and their sum is 180∘.
By the converse of co-interior angles theorem, AD || BC and AB is the transversal.
∠D+∠A=50∘+130∘=180∘
Here, ∠D and ∠A are co-interior angles and their sum is 180∘.
By the converse of co-interior angles theorem, AB ||DC and AD is the transversal.
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:
C
In a parallelogram, the adjacent sides and anglesare not equal and no sides are perpendicular to other.
∠A+∠B=130∘+50∘=180∘
Here, ∠A and ∠B are co-interior angles and their sum is 180∘.
By the converse of co-interior angles theorem, AD || BC and AB is the transversal.
∠D+∠A=50∘+130∘=180∘
Here, ∠D and ∠A are co-interior angles and their sum is 180∘.
By the converse of co-interior angles theorem, AB ||DC and AD is the transversal.
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