Math Problem Statement

Which angles are complementary to each other?

Solution

To determine which angles are complementary in the given diagram, we need to recall that complementary angles are two angles whose measures sum up to 90 degrees.

From the image, it seems that angles 1, 2, 3, 4, and 5 share common intersections. In particular, it looks like:

  • Angle 1 and Angle 5 form a 90-degree angle (based on the right-angle mark at the intersection).
  • Angle 2 and Angle 3 could also potentially form complementary pairs if their combined measure equals 90 degrees.

Thus, the pairs of angles that appear to be complementary are:

  • Angle 1 and Angle 5.

Would you like a more detailed breakdown, or do you have any questions?

Here are five related questions to expand the concept:

  1. How do we identify supplementary angles in a diagram?
  2. What is the difference between complementary and supplementary angles?
  3. Can adjacent angles ever be complementary? Why or why not?
  4. How do we use complementary angles in right triangle trigonometry?
  5. What tools are useful for measuring angles accurately?

Tip: Remember, complementary angles always add up to 90°, but they do not have to be adjacent.

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles

Formulas

Sum of complementary angles = 90°

Theorems

Complementary Angles Theorem

Suitable Grade Level

Grades 5-7