Respuesta :

a) triangle, sum of interior angles = 180
so
35 + 52 + 3(x + 2) = 180
87 + 3(x + 2) = 180
        3(x + 2) = 93
           x + 2  = 31
                 x  = 29

b)
<C = 3(x + 2) 
<C = 3(29 + 2) 
<C = 3(31) 
<C = 93

Hello!

The angles inside a triangle add to 180

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

Combine like terms

87 + 3(x + 2) = 180

Subtract 87 from both sides

3(x + 2) = 93

Distribute the 3

3x + 6 = 93

Subtract 6 from both sides

3x = 87

Divide both sides by 3

x = 29

Now we put it into the equation to find angle C

3(29 + 2)

Do what is in paraenthesis

3(31)

Multiply

93

The answer is A is 29
The answer is B is 93

Hope this helps!