Question

1.2: problem set
overview
in this assignment you will be completing problems based on angle relationships. the purpose of this assignment is to practice vocabulary and applying algebra to your geometry skills. as you work, review definitions of angles and relationships and double check your work when solving for variables.
problem sets questions
solve the questions below. show your work.

1. identify the angle relationship and solve for x.

6x+7
2x-11

Explanation:

Step1: Identify angle relationship

Assume the two angles \(6x + 7\) and \(2x-11\) are supplementary (form a linear pair, sum to \(180^\circ\)):
\((6x + 7)+(2x - 11)=180\)

Step2: Simplify the equation

Combine like terms:
\(6x+2x + 7-11 = 180\)
\(8x-4 = 180\)

Step3: Solve for \(x\)

Add 4 to both sides:
\(8x=180 + 4\)
\(8x=184\)

Divide by 8:
\(x=\frac{184}{8}=23\)

Answer:

\(x = 23\) (assuming the angles are supplementary; if the diagram shows a different relationship, adjust accordingly, but with the given info, linear pair is a common case here)