Question

solve for x.
(10x - 26)°
(7x + 7)°
x =

Explanation:

Step1: Identify angle - relationship

Assume the angles are vertical angles (since no other information about the lines is given, vertical angles are equal). So, \(10x - 26=7x + 7\).

Step2: Isolate the variable terms

Subtract \(7x\) from both sides: \(10x-7x - 26=7x-7x + 7\), which simplifies to \(3x-26 = 7\).

Step3: Isolate the variable

Add 26 to both sides: \(3x-26 + 26=7 + 26\), getting \(3x=33\).

Step4: Solve for x

Divide both sides by 3: \(\frac{3x}{3}=\frac{33}{3}\), so \(x = 11\).

Answer:

\(11\)