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Question
Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°? If not, why?
Solution
Given measures are OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°
Here, we see that, ∠O + ∠R + ∠A = 120° + 105° + 135° = 360°
i.e. the sum of three angles of a quadrilateral is 360°.
This is impossible, as the total sum of angles is 360° in a quadrilateral.
Hence, this quadrilateral cannot be constructed.
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