Is it possible to construct a quadrilateral PQRS in which PQ = 4 cm, ∠Q = 120°,
QR = 5 cm, ∠P = 110° and ∠R = 130°? Justify.
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Answer:
No
Step-by-step explanation:
It is not possible because Angle P and R are the adjacent angles of the quadrilateral and always the sum of adjacent angles of quadrilateral is 180°
In Quad PQRS,
P+Q=110°+130°
=240°
P+Q is not equal to 180°
Hence the given quadrilateral cannot be constructed
The answer is justified
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