Math Problem Statement

What is the value of k?

Solution

From the uploaded image, we are solving for the value of kk, where the angle adjacent to kk is 5050^\circ. The image seems to represent angles formed by intersecting lines.

Step-by-step Solution:

  1. Key Concept: Adjacent angles on a straight line are supplementary, meaning their measures add up to 180180^\circ.

  2. The two angles are kk and 5050^\circ.

    By the supplementary angle property: k+50=180k + 50^\circ = 180^\circ

  3. Solve for kk: k=18050k = 180^\circ - 50^\circ k=130k = 130^\circ

Final Answer:

k=130k = 130^\circ

Would you like a detailed explanation of supplementary angles or related topics?


Here are 5 follow-up questions to expand your understanding:

  1. What is the definition of supplementary angles?
  2. How can you verify if two angles are supplementary from a diagram?
  3. If another angle was given on the opposite side of the straight line, how would you calculate it?
  4. How do complementary angles differ from supplementary angles?
  5. How does this concept apply to solving angles in polygons?

Tip:

Always remember that a straight line equals 180180^\circ, which is helpful in problems involving linear pairs or adjacent angles.

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Math Problem Analysis

Mathematical Concepts

Supplementary Angles
Straight Line Geometry

Formulas

k + 50° = 180°

Theorems

Supplementary Angle Theorem

Suitable Grade Level

Grades 7-9