Math Problem Statement
Solution
The problem involves two angles, and . You are asked to:
(a) Write an equation to find .
(b) Find the degree measure of each angle.
Step (a) — Write an equation to find :
Since the two angles are complementary (add up to ), you can set up an equation where their sum equals 90:
Now, you can solve this equation to find .
Step (b) — Find the degree measure of each angle:
After solving for , substitute it back into the expressions for the angles:
- For
- For
Let me know if you'd like me to solve this equation for you, or if you have any questions about the process!
Here are 5 follow-up questions you can consider:
- How do you solve linear equations like ?
- What does complementary mean in terms of angle relationships?
- How do you check if the angles are correct once you find ?
- Can two non-adjacent angles be complementary?
- What happens if the angles were instead supplementary?
Tip: When solving equations, be sure to simplify both sides before combining like terms!
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Math Problem Analysis
Mathematical Concepts
Algebra
Angles
Complementary Angles
Formulas
Equation of complementary angles: (angle1 + angle2 = 90°)
Theorems
Complementary Angles Theorem
Suitable Grade Level
Grades 7-9
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