Math Problem Statement
Determine whether the angles are complementary, supplementary,or neither
Determine whether the angles are complementary, supplementary, or neither.
Solution
To determine whether the given angles are complementary, supplementary, or neither, let's evaluate their properties:
- Complementary angles are two angles whose sum is .
- Supplementary angles are two angles whose sum is .
- If the sum is neither nor , the angles are neither complementary nor supplementary.
In the image, the angles provided are:
Now, let's calculate their sum:
Since the sum is exactly , these two angles are supplementary.
Would you like more details or have any questions? Here are five related questions to expand on this:
- What are some examples of complementary angles in real life?
- Can two obtuse angles be supplementary?
- What is the difference between adjacent and non-adjacent supplementary angles?
- How can we identify angles formed by intersecting lines?
- Can angles be supplementary if they are not adjacent?
Tip: Remember, supplementary angles can be adjacent or non-adjacent; their sum is what matters!
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Math Problem Analysis
Mathematical Concepts
Geometry
Angle Relationships
Formulas
Sum of angles: Complementary (sum = 90°), Supplementary (sum = 180°)
Theorems
Supplementary Angles Theorem
Suitable Grade Level
Grades 6-8