Math Problem Statement

Given a diagram where an angle is labeled 35° and another angle is marked as (5n)°, find the unknown angle measure.

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:

35°+5n=180°35° + 5n = 180°

To solve for nn:

  1. Subtract 35 from both sides: 5n=180°35°=145°5n = 180° - 35° = 145°

  2. Divide both sides by 5: n=145°5=29°n = \frac{145°}{5} = 29°

So, n=29°n = 29°, and the unknown angle is: 5n=5×29°=145°5n = 5 \times 29° = 145°

Therefore, the unknown angle measures 145°.

Would you like further details or have any questions about this solution?

Here are some related questions:

  1. How do you know when two angles are supplementary?
  2. What other types of angle relationships are important in geometry?
  3. How would you solve for angles in parallel lines with transversals?
  4. What are complementary angles, and how do they differ from supplementary angles?
  5. 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