Question

construction
26x
76°
38 = x
76/26 = 2/26x
2/26

Explanation:

Step1: Set up the equation

Since the two angles are congruent (given the construction of parallel lines and a transversal, corresponding angles are equal), we have \(26x = 76\).

Step2: Solve for \(x\)

Divide both sides of the equation \(26x = 76\) by \(26\). So, \(x=\frac{76}{26}\). Simplify the fraction \(\frac{76\div2}{26\div2}=\frac{38}{13}\approx 2.92\).

Answer:

\(x = \frac{38}{13}\)