Question 404841: given that the angle of a triangle are (2x+20), (x+25) and (2x-15), calculate the size of each angle Answer by keksjr(7) (Show Source):
You can put this solution on YOUR website! Taking the angle of the triangle to be:
A=2x+20; B=x+25; C=2x-15.
The sum of angle in a triangle is equal to 180°
Sum up the angles: A+B+C=180°
(2x+20)+(x+25)+(2x-15)=180
Clear the parentheses 2x+20+x+25+2x-15=180
5x =180-20-25+15
5x =150
Divide through by 5: x =30
For Angle A: A=2x+20
A=2(30)+20
A=60+20
A=80°
For Angle B: B=X+25
B=30+25
B=55°
For Angle C: C=2x-15
C=2(30)-15
C=60-15
C=45°