Question

Two supplementary angles are in the ratio 1:3. Find the measure of the smaller angle.​

Answer 1

Answer:

let the multiple to be x

angle=1x,3x

1x+3x=180 (sum of supplementary angle are 180)

4x=180

x=180/4

x=45

angle one =1x=1×45=45 degree

Answer 2

$Let \: measurement \: of \: angle \: \\ be \: 1x \: and \: 3x$

$1x+3x=180°$

$4x=180°$

$x = \frac{180°}{4}$

$x = 45°$

$smaller \: angle 3x \: \\ = 3×45° \\ = 135°$