the measure of the supplement of an angle is 20 degrees more than three times the original angle . Find the measures of the angles.

Question

nurali · Answer

Let x be the measure of original angle, then the measure of the supplement is 3x + 20.
We can set up an equation using the fact that the sum of an angle and its supplement is 180.
So x + (3x + 20) = 180
Solving the equation for x, we have
x + 3x + 20 = 180
4x = 160
x = 40
So the measures of the angles are 40 and (180 - 40 =) 140 degrees.

campbell_st · Answer

one angle = x 

the other is 3x + 20

supplementary means they add to 180

so 

x + 3x + 20 = 180

solve for x

anonymous · Answer

thanks guys

nurali · Answer

My Pleasure.