Question

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?

Answer 1

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