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The problem asks us to solve for the complement of an angle, where the measure of the angle is 40 degrees greater than its complement.

Let’s define the variables as follows:
- Let **x** represent the degree measure of the complement of the angle.
- The angle itself would then be **x + 40** (since the angle is 40 degrees more than its complement).

By definition, complementary angles sum up to 90 degrees. Therefore, we can set up the following equation:

\[
x + (x + 40) = 90
\]

Now, let's solve for **x**:

\[
2x + 40 = 90
\]
\[
2x = 90 - 40
\]
\[
2x = 50
\]
\[
x = 25
\]

So, the complement of the angle is **25 degrees**.

Would you like a more detailed explanation or have any questions about this? Here are five related questions you can consider:

1. What is the measure of the original angle?
2. How do complementary and supplementary angles differ?
3. If one angle is 10 degrees more than its complement, how would you set up the equation?
4. What happens if the sum of two angles exceeds 90 degrees?
5. How would you solve for two unknown angles if they are supplementary?

**Tip:** Always double-check the sum of complementary angles to ensure it adds up to 90 degrees.

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

Learn how to solve a problem where the measure of an angle is 40 degrees greater than its complement. This step-by-step solution involves algebra and complementary angle properties, suitable for students in Grades 6-8.

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