Triangle abc has angle measures as shown What is the value of x? Show your work.
What is the measure of angle Show your work.

(100 points for this question)

x=31

<c = 93

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<a +<b + <c = 180

35+ 52+3(x+2) = 180

Combine like terms

87+3(x+2) = 180

Subtract 87 from each side

87-87 +3(x+2) = 180-87

3(x+2) =93

Divide each side by 3

3(x+2)/3 = 93/3

x+2 = 31

Subtract 2 from each side

x+2-2 = 31-2

x = 29

Substitute x into the expression for angle c

<c = 3(x+2)

    =3(29+2)

   = 3(31)

  =93