Question

Triangle ABC has angle measures as shown. (a) What is the value of x? Show your work. (b) What is the measure of angle C? Show your work.

Answer 1

It's pretty simple
a)the sum total internal angle of a triangle is 180°
so let's simplify 3(x+2)= 3x+6
so now (3x+6)+35+52= 180
3x + 93 = 180
x = 29

b)3(X+2)
3X+6
3(29)+6=93°

confirmation= 93 +35 +52 = 180°

Answer 2

All angles = 180 degrees
3(x-2)+35+52=180
distribute
3x-6+35+52=180
combine like terms 
3x+81=180
subtract 81 on both sides
3x=99
divide both sides by 3
x=33
plug in for x
3((33)+2)=
or 180-35-52=93