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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.

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. class=

Answer :

CharlesTheDillPickle
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
altafmushrafp5fo2o
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°

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