Question

1. the figures shown are a reflection. find the value of y. a. 6 b. 41 c. 12 d. 9

Explanation:

Step1: Use the property of reflection (congruent angles)

Since the figures are a reflection, the corresponding angles are equal. So, \(8y - 6=42\).

Step2: Solve the equation for \(y\)

Add \(6\) to both sides of the equation: \(8y-6 + 6=42 + 6\), which simplifies to \(8y=48\).
Divide both sides by \(8\): \(y=\frac{48}{8}\).

Answer:

\(y = 6\), so the answer is A. 6