Question

find angle if angles are supplementary and the larger is 20° less than three times the smaller

Answer 1

As we know that the sum of supplementary Angle is equal to 180°

now let two angles are A and B

A+ B. =180°. ---(1)

let the larger Angle is A and smaller is B

the larger Angle is A =3B- 20° ---(2)

now put the value of A in equation (1)

3B-20°+ B=180°

4B=200°

B=200/4

B=50°

now put value of B in equation (1)

A=3(50°)-20°

A=150°-20°

A=130°

hence the two angles are ,50° and 130°

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