Math Problem Statement
Solution
In the image you uploaded, there is an angle labeled as 35°, and an unknown angle marked as (5n)°. It appears that you are trying to find the unknown angle, likely using the relationship between the two angles.
Based on the diagram, it seems that the angles are on a straight line, which means they are supplementary angles. The sum of supplementary angles is always 180°.
Let's set up the equation:
To solve for :
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Subtract 35 from both sides:
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Divide both sides by 5:
So, , and the unknown angle is:
Therefore, the unknown angle measures 145°.
Would you like further details or have any questions about this solution?
Here are some related questions:
- How do you know when two angles are supplementary?
- What other types of angle relationships are important in geometry?
- How would you solve for angles in parallel lines with transversals?
- What are complementary angles, and how do they differ from supplementary angles?
- How can you solve for unknown angles using algebra in geometric proofs?
Tip: When dealing with supplementary or complementary angles, always remember their sum will either be 180° (supplementary) or 90° (complementary).
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Math Problem Analysis
Mathematical Concepts
Supplementary Angles
Algebra
Formulas
Supplementary angle equation: angle1 + angle2 = 180°
Theorems
Supplementary angles theorem
Suitable Grade Level
Grades 7-9