Question

Supplementary angles are two angles that have measures with a sum of 180°. Angles 1 and 2 are supplementary and the measure of angle 2 is 3° more than twice the measure of angle 1.

Write a system of equations and use substitution to find the measures of angles 1 and 2.

100 characters remaining

Answer 1

Explanation:

180 total

180-3=177

ratio of angle 1 to angle 2:

2:1

we need to divide 177 by 3 since there are 3 parts in the ratio above

177/3=59

angle 1 = 59x2=118

angle 1=118 degrees

angle 2=59+3=62

angle 2 =62 degrees

we can check by adding 62 and 118

62+118=180