Use an algebraic equation to find the measures of two angles described below. Begin by letting x represent the degree measure of the angle's complement. The measure of the angle is 14 degrees greater than its complement What is the measure of the complement and the measure of the other angle.

A = x+14

A = 90 - x
------------- add
2 A = 104
A = 52
then x = 90 - 52

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's complement.

The measure of the angle is 40 degrees greater than its complement.

To find the measures of the angle's complement and the angle itself, we can set up an algebraic equation based on the given information.

Let's start by letting x represent the degree measure of the angle's complement. Since the angle is 14 degrees greater than its complement, we can represent the measure of the angle as x + 14.

We know that the sum of an angle and its complement is always 90 degrees (since they are complementary angles). So we can set up the following equation:

x + (x + 14) = 90

Now, we can solve this equation to find the value of x. To do that, we'll combine like terms:

2x + 14 = 90

Next, we'll isolate the variable by subtracting 14 from both sides:

2x = 90 - 14

2x = 76

Finally, we'll solve for x by dividing both sides of the equation by 2:

x = 76 / 2

x = 38

So, the measure of the angle's complement is 38 degrees. To find the measure of the angle itself, we'll plug the value of x back into our equation:

x + 14 = 38 + 14 = 52

Therefore, the measure of the complement is 38 degrees, and the measure of the other angle is 52 degrees.