Question

an angle is five times its supplement .find the measure of the angle

Answer 1

let one angle be 5x and other be x

5x +x =180degree

6x=180degree

x = 30degree

5x = 150 degree

x = 30degree

angle 1 =150degree

angle 2= 30 degree

Answer 2

a supplementary angle = 180°
let the 1st angle = x
let the 2nd angle= 5x

therefore,x+5x = 180°
or 6x = 180°
or x = 180°/6
or x = 30°

the first angle = x = 30°
the second angle = 5x = 5 × 30° = 150°




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