Question

b) if the angles of a quadrilateral are x - 35°, x , 2x - 40° and 2x - 27°, find all the angles of the
quadrilateral.
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Answer 1

x-35°+x+2x-40°+2x-27°=360°(angle sum property of quadrilateral)

=>6x-102°=360°

=>6x=360°+102°

=>6x=462°

=>x=462°÷6

=>x=77°

x-35°=77°-35°=42°

x=77°

2x-40°=2×77°-40°=154°-40°=114°

2x-27°=2×77°-27°=154°-27°=127°

so,four angles of the quadrilateral are 42°,77°,114° and 127°.

hope it will help you.

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