Final answer:
To find the measure of ∠A, we need to set up an equation based on the given information and solve for x. The measure of ∠A is 61.25 degrees.
Step-by-step explanation:
To solve this problem, we need to set up an equation based on the given information. Let's assume that the measure of ∠A is x degrees. We know that the measure of its complement is 90 - x degrees. According to the problem, ∠A is 25 less than 3 times the measure of its complement:
x = 3(90 - x) - 25
Simplifying the equation, we have:
x = 270 - 3x - 25
Combining like terms:
4x = 245
Dividing both sides by 4:
x = 61.25
Therefore, the measure of ∠A is 61.25 degrees.