The angles of a quadrilateral are x°, (x-10)°, (x+30)° and 2x°. Then what is the value of the greatest angle is degrees.
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Solution
We know that the sum of all angles in a quadrilateral is 360∘.
Then, x∘+(x−10)∘+(x+30)∘+(2x)∘=360∘ 5x∘+20∘=360∘ x=3405=68∘
The angles are 68∘,68∘−10∘,68∘+30∘,2×68∘ i.e.68∘,58∘,98∘,136∘. ∴ Greatest angle =136∘