The measure of angle A is 25 less than 3 times the measure of its complement. What is the measure of angle A?

Difference = 57.5 degrees - 32.5 degrees = 25 degrees.

Step-by-step explanation:

Let the smaller angle be y.

The larger angle will be y + 25.

y + y + 25 = 2y + 25

2y + 25 = 90 degrees (sum of two complementary angles)

2y = 90 - 25 = 65

y = 65/2 = 32.5 degrees

Smaller angle: y = 32.5 degrees

Larger angle: y + 25 = 32.5 + 25 = 57.5 degrees.

Its measurement (that is, the smaller angle) is 32.5 degrees.

Check:

Sum = 32.5 degrees + 57.5 degrees = 90 degrees (sum of two complementary angles).

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