Answer: x = 31
Step-By-Step:
To Find x:
[tex]\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180[/tex] (Angle Sum Property Of Triangles)
(Remove the brackets)
[tex]2x+20+x+10+2x-5=18[/tex]
(Group Accordingly)
[tex]2x+x+2x+20+10-5=180[/tex]
= [tex]5x+20+10-5=180[/tex]
= [tex]5x\:+\:25[/tex] [tex]=180[/tex]
= [tex]5x= 180 - 25[/tex]
= [tex]5x = 155[/tex]
= [tex]x=\frac{155}{5}[/tex]
= [tex]31[/tex]
Therefore x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
