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Solve for x pleasee

Solve for x pleasee-example-1

1 Answer

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Answer:


x+72^o=103^o\ \ \ [\text{An exterior angle of a triangle is equal to the sum of the }\\\text{opposite interior angles.]}\\\text{or, }x=103^o-72^o\\\text{or, }x=31^o

Alternate Method:


\text{(i)}\ y+103^o+28^o=180^o\ \ \ [\text{Sum of angles of triangle is }180^o.]\\\text{or, }y+131^o=180^o\\\text{or, }y=49^o


\text{(ii)}\ (x+28)^o+72^o+y^o=180^o\ \ \ [\text{Sum of angles of triangle is 180}^o.]\\\text{or, }x+100^o+49^o=180^o\\\text{or, }x+149^o=180^o\\\text{or, }x=31^o

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