Question

two angles are supplementary if one of them is 30 degree less than 5 times the other find the angles.

Answer 1

5x-30=180
5x=180+30
5x=210
X=210/5
X=42
So 42*5
210

Hence 1st angle is 30°
Hence 2nd angle is 210°

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Answer 2

let the angle be A,

then it's supplementry angle =(180°-A),

now according to the question, we have

A+30°=5(180°-A),


A+30°=900°-5A,

then


A+5A=900°-30°,


6A=870°,


then


A=870°/6,


A=145°,


therefore

complementry angle=(180°-145°),

=35°