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The measure of an angle is . What is the measure of its complementary angle?

Ask by Sullivan Luna. in the United States
Mar 25,2025

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Tutor-Verified Answer

Answer

The complementary angle is .

Solution

  1. Two angles are complementary if their sum is .
  2. Let the measure of the complementary angle be . Then,
  3. To solve for , subtract from both sides:
  4. Compute:
Thus, the measure of the complementary angle is .

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Bonus Knowledge

The measure of a complementary angle can be found by subtracting the given angle from . Since the angle is , you would calculate . So, the measure of its complementary angle is .
Did you know that the concept of complementary angles has been around since ancient Greek mathematicians? They made significant contributions to the understanding of angles and their relationships, laying the groundwork for geometry as we know it today.
In real-world applications, complementary angles appear in various fields, such as architecture and engineering. For example, when designing roofs or structures, ensuring that angle measurements are complementary can lead to more aesthetically pleasing and structurally sound designs!

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