Final Answer:
The angle CBD is congruent to angle FDG is 72.Thus the option a. 72 is correct.
Step-by-step explanation:
In the given problem, we are asked to find the values of x and y if angle CBD is congruent to angle FDG. Let's denote the measure of angle CBD as x and the measure of angle FDG as y.
To solve for x and y, we can use the fact that congruent angles have equal measures. Therefore, x = y. Since we are given options for the values of x and y, we can compare them to find the correct answer.
The correct option is (a) 72, as it satisfies the condition x = y. Therefore, the final answer is x = 72 and y = 72.
In summary, the solution to the problem is x = 72 and y = 72, as the measure of angle CBD is congruent to the measure of angle FDG, and the correct option that satisfies this condition is (a) 72.
Thus the option a. 72 is correct.