Refer to the figure below to complete the following problem. If m∠A = 2x and m∠D = 9x + 15, then what is m∠A? A. 15° B. 20° C. 30° D. 34°

C) 30°

To solve for m∠A, we need more information about the relationship between ∠A and ∠D. Since the problem does not provide a figure or additional information indicating whether the angles are complementary, supplementary, or otherwise related, we cannot accurately determine the value of m∠A based solely on the information given.

We need a relationship such as: - ∠A and ∠D are complementary angles (sum up to 90 degrees), - ∠A and ∠D are supplementary angles (sum up to 180 degrees), or - They form a linear pair or are part of a particular shape (e.g., a triangle, where we might know the sum of the angles).

Assuming there is some kind of relationship, the typical approach to solving this kind of algebraic equation is to set up an equation based on what is known about the angles' relationship, solve for the variable 'x', and then substitute it back into the expression for m∠A to find its measure.

For example, if they are supplementary: m∠A + m∠D = 180° 2x + (9x + 15) = 180 11x + 15 = 180 11x = 180 - 15 11x = 165 x = 165 / 11 x = 15

If this were the case, to find m∠A, we then substitute x back into m∠A: m∠A = 2x m∠A = 2*15 m∠A = 30°

So ∠A would be 30°, which corresponds to option C. However, this is just an example and cannot be considered correct without the essential information regarding the relationship between ∠A and ∠D.