Answer:
C = 39
Step-by-step explanation:
From the question given above, the following data were obtained:
A = 2x + 108
B = x + 33
C =?
Next, we shall obtain an expression for C. This can be obtained as follow:
A + B + C = 180 (sum of angles in a triangle)
2x + 108 + x + 33 + C = 180
2x + x + 108 + 33 + C = 180
3x + 141 + C = 180
Make C the subject by rearranging
C = 180 – 141 – 3x
C = 39 – 3x
Next, we shall determine the value of x. This can be obtained as follow:
A = 2x + 108
B = x + 33
C = 39 – 3x
A + B + C = 180
2x + 108 + x + 33 + 39 – 3x = 180
2x + x – 3x + 108 + 33 + 39 = 180
3x – 3x + 180 = 180
3x – 3x = 180 – 180
3x – 3x = 0
x(3 – 3) = 0
x(0) = 0
x = 0
Finally, we shall determine C. This can be obtained as follow:
C = 39 – 3x
x = 0
C = 39 – 3(0)
C = 39 – 0
C = 39
