Math Problem Statement

Find the complement of the angle 27° as shown in the image.

Solution

The question asks to find the complement of the angle shown in the image, which is 27°.

In geometry, the complement of an angle is what you add to it to make a right angle, which is 90°.

The formula to find the complement of an angle is: Complement=90given angle\text{Complement} = 90^\circ - \text{given angle}

Given that the angle is 27°, the complement is: Complement=9027=63\text{Complement} = 90^\circ - 27^\circ = 63^\circ

Therefore, the complement of the 27° angle is 63°.

Would you like further details or have any questions?

Here are 5 related questions to further explore this topic:

  1. What is the definition of supplementary angles?
  2. Can two obtuse angles be complementary?
  3. How do complementary angles appear in right-angled triangles?
  4. What is the complement of an angle that is 45°?
  5. What is the difference between complementary and supplementary angles?

Tip: Complementary angles always sum to 90°, while supplementary angles sum to 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles

Formulas

Complement = 90° - given angle

Theorems

Complementary Angles Theorem

Suitable Grade Level

Grades 6-8