In ABC the measure of angle a is 2x+3 the measure of angle b is 4x+2 and the measure of angle c is 2x-1. what are the measure of the angles?

ABC

that means that this shape has 3 sides

what shap has 3 sides

a triangle

remember thtat the 3 inside angles added together equal 180 so

angle a=2x+3

angle b=4x+2

angle c=2x-1

so therefor a+b+c=180

so

2x+3+4x+2+2x-1=180

group like terms

2x+4x+2x+3+2-1=180

add like terms

8x+4=180

subtracct 4 from both sides

8x=176

divide both sides by 8

x=22

subsitute

a=2x+3

a=2 (22) + 3

a=44+3

a=47

b=4x+2

b=4 (22) + 2

b=88+2

b=90

c=2x-1

c=2 (22) - 1

c=44-1

c=43

the angles are

a=47

b=90

c=43