Triangle ABC has angle measures as shown. Triangle
Triangle A B C. Angle A measures 35 degrees, angle B measures 52 degrees, and angle C measures 3 times left parenthesis x plus 2 right parenthesis degrees.

What is the value of x? Show your work.

What is the measure of angle C? Show your work.

29 degrees

Step-by-step explanation:

If I read your question correctly, your degree measures were

35, 52, and 3(x+2).

We know that all triangle angles measure up to 180 degrees, so we can add all of the given degree values to 180.

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

Now, we can solve for x.

87+3x+6=180

93+3x=180

3x=87

x=29

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.