The measures of a triangle are given. Solve for x and find the measure of each angle? A=2x+12 B=3x-5 C=x+23

Foemicofeduz

Foemicofeduz

Answered question

2023-01-08

The measures of a triangle are given. Solve for x and find the measure of each angle? A=2x+12 B=3x-5 C=x+23

Answer & Explanation

Belinda Bass

Belinda Bass

Beginner2023-01-09Added 7 answers

Solution:
  the sum of the 3 angles in a triangle  =180
2x+12+3x5+x+23=180solve for x
simplify left side by collecting like terms
6x+30=180
subtract 30 from both sides
6x=18030=150
divide both sides by 6
x=1506=25
A=(2×25)+12=62
B=(3×25)5=70
C=25+23=48
and  62+70+48=180  check

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