Question

5.
what is the value of y?

Explanation:

Step1: Identify angle relationship

The angles \(5y^\circ\) and \((2y + 78)^\circ\) are alternate exterior angles (since the lines are parallel, alternate exterior angles are equal). So we set up the equation:
\(5y = 2y + 78\)

Step2: Solve for y

Subtract \(2y\) from both sides:
\(5y - 2y = 2y + 78 - 2y\)
\(3y = 78\)

Divide both sides by 3:
\(y=\frac{78}{3}\)
\(y = 26\)

Answer:

\(26\)