Final answer:
Upon solving for x using the sum of angles in a triangle, angle A's measure is calculated as 34 degrees, which is not included in the given options, suggesting an error in the question.
Step-by-step explanation:
The problem stated involves finding the measure of angle A in a triangle with given algebraic expressions for its angles. The sum of the angles in any triangle is 180 degrees, which is a fundamental rule in geometry. Using this rule, we can set up an equation that sums the provided expressions for each angle to 180 degrees: (2x - 24) + (x + 8) + (4x + 49) = 180. Solving for x, we get x = 29 degrees. Substituting the value of x back into the expression for angle A (2x - 24), we find the measure of angle A to be 34 degrees, which is not present in the provided options, indicating a possible typo in the question or options.