Let the measure of the unknown angle is x ° Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°
According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:
So the degree measure of the required angle is 125°.
Angle: x=? Supplementary angle: y=180°-x <span> The degree measure of an angle (x) is 40° less than 3 times the degree measure of its supplementary angle (y): </span>x=3y-40°
Replacing y by 180°-x x=3(180°-x)-40° x=540°-3x-40° x=500°-3x
Solving for x: x+3x=500°-3x+3x 4x=500° 4x/4=500°/4 x=125°