Question
The three angles of a quadrilateral are 75∘, 90∘ and 75∘. The quadrilateral can be a parallelogram.
Answer: Option B
:
B
Sum of all angles of a quadrilateral is 360∘.
Fourthangle=360∘−(75∘+90∘+75∘)=120∘
Since the pairs of opposite angles of a parallelogram are equal, this quadrilateral cannot be a parallelogram since it has three different angles and only one pair of equal angles.
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:
B
Sum of all angles of a quadrilateral is 360∘.
Fourthangle=360∘−(75∘+90∘+75∘)=120∘
Since the pairs of opposite angles of a parallelogram are equal, this quadrilateral cannot be a parallelogram since it has three different angles and only one pair of equal angles.
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