Final answer:
To find x and the measure of each angle in △ACD, set up the equation: (3x - 4) + (5x + 1) + (7x - 27) = 180. Solve for x, then substitute it back into the given expressions for the angles to find their measures.
Step-by-step explanation:
To find x and the measure of each angle in △ACD, we can use the fact that in a triangle, the sum of the angles is always 180 degrees.
Therefore, we can set up the equation: (3x - 4) + (5x + 1) + (7x - 27) = 180.
Solving this equation will give us the value of x, and we can substitute it back into the given expressions for the angles to find their measures.
Learn more about Angles in a triangle