Question
I construct quadrilateral with 3 sides and 2 included angles being 75∘ and 105∘ respectively and no sides are equal. What is the type of quadrilateral I am constructing?
Answer: Option B
:
B
The given is 3 sides and 2 included angles
⟹ The angles are adjacent angles
Also their sum is75∘+105∘=180∘
⟹ Given angles are supplementary.
Then the remaining two angles are alsosupplementary. [∵ Sum of all the angles of a quadrilateral is 3600]
Hence, the quadrilateral is a trapezium as in a trapeziumadjacent angles are supplementary angles and since its given no sides are equal , it cannot be a parallelogram( opposite sides are equal) and square, rhombus( all sides are equal)
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:
B
The given is 3 sides and 2 included angles
⟹ The angles are adjacent angles
Also their sum is75∘+105∘=180∘
⟹ Given angles are supplementary.
Then the remaining two angles are alsosupplementary. [∵ Sum of all the angles of a quadrilateral is 3600]
Hence, the quadrilateral is a trapezium as in a trapeziumadjacent angles are supplementary angles and since its given no sides are equal , it cannot be a parallelogram( opposite sides are equal) and square, rhombus( all sides are equal)
Was this answer helpful ?
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