Math Problem Statement
Solution
The problem states that two angles are complementary, meaning the sum of their measures is 90°. It also says the larger angle is 6 more than five times the smaller angle.
Let the smaller angle be .
The larger angle is given by .
Since the two angles are complementary, their sum is 90°:
Now, let's solve for .
So, the smaller angle is 14°.
Would you like more details or further explanation?
Here are 5 related questions to consider:
- How would the equation change if the sum of the angles was 180° (supplementary)?
- What would happen if the larger angle was described as 4 more than twice the smaller angle?
- How would you solve the problem if you were given the difference between the angles instead of a sum?
- Can complementary angles ever be equal? Why or why not?
- What other geometric relationships involve angle pairs?
Tip: Always check your final answer by substituting the values back into the original equation to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Complementary Angles
Linear Equations
Algebra
Formulas
Sum of complementary angles = 90°
Theorems
Complementary Angles Theorem
Suitable Grade Level
Grades 7-9
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