Question

the angles are supplementary and the larger is 58 more than the smaller
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Answer 1

Answer:

sum of angles is 180

let smaller angle is x

then the larger angle is 58+x

so 58 + 2x=180

2x= 122

x=61 which is smaller angle

So larger angle=58+61=119

Answer 2

Answer:

sum of supplementary angles=180°

let the smaller angle be (x)°

and the larger angle be(x+58)°

now solving --

(x)°+(x+58)°=180°

x+x+58°=180°

2x+58°=180°

2x=180°-58°

2x=122°

x=61°

therefore 1 angle of 61° and other angle= (x+58)°

=(61+58)°

=119°

therefore angles are 61°and 119°