Math Problem Statement

Name a pair of adjacent complementary angles using the provided diagrams.

Solution

From the image, we are asked to "Name a pair of adjacent complementary angles."

Adjacent complementary angles are two angles that are next to each other (adjacent) and whose measures add up to 90 degrees (complementary).

Let’s analyze the diagram on the right:

  • We see two adjacent angles marked as LJM\angle LJM (56°) and MJP\angle MJP (34°).
  • The sum of these two angles is: 56+34=9056^\circ + 34^\circ = 90^\circ This confirms that LJM\angle LJM and MJP\angle MJP are adjacent complementary angles.

So the answer is: LJM\angle LJM and MJP\angle MJP

Do you want further details or have any questions?

Here are five related questions:

  1. What are supplementary angles?
  2. How do you define vertical angles?
  3. Are FGH\angle FGH and HGE\angle HGE complementary?
  4. How can you determine if two angles are adjacent?
  5. What is the difference between adjacent and non-adjacent angles?

Tip: Complementary angles always add up to 90 degrees.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles
Complementary Angles

Formulas

Sum of complementary angles: A + B = 90°

Theorems

Complementary Angle Theorem

Suitable Grade Level

Grades 6-8