the measure of one angle is 20 degrees more than two-thirds the measure of its supplement what is the measure of the two angles?

Question

campbell_st · Answer

let x = the supplement 

then the other angle is   2/3 x + 20

so you know the angles are supplementary... which means they add to 180

so then you have 

$$x + \frac{2}{3} x + 20 = 180$$

collect like terms and solve for x

anonymous · Answer

x=96?

campbell_st · Answer

that correct, the supplement is 96

so the other angle is 2/3 * 96 + 20

or   180 - 96

hope it makes sense

anonymous · Answer

definitely thank you so much!!!! i appreciate it!!!!!

campbell_st · Answer

glad to help