Answer: To find the value of "x" and the measures of angles A, B, and C, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
We can start by setting up an equation for the sum of the angles in triangle ABC:
A + B + C = 180
We can then substitute the values we know into this equation:
A = 2x + 8
B = 63
C = x + 7
A + B + C = (2x + 8) + 63 + (x + 7) = 3x + 78
Substituting this back into the equation for the sum of the angles, we get:
3x + 78 = 180
Solving for "x", we have:
3x = 102
x = 34
Now that we have found the value of "x", we can substitute it back into the expressions for the angles to find their measures:
A = 2x + 8 = 2(34) + 8 = 76
B = 63
C = x + 7 = 34 + 7 = 41
Therefore, the measures of angles A, B, and C are 76 degrees, 63 degrees, and 41 degrees, respectively.
Explanation: