Question

the figures shown are a reflection. find the value of x

Explanation:

Step1: Use the property of reflection (congruent figures)

Since the figures are a reflection, the corresponding angles are equal. So, \(101^{\circ}=(2x + 19)^{\circ}\)

Step2: Solve the equation for \(x\)

Subtract \(19\) from both sides of the equation: \(101-19 = 2x+19 - 19\), which gives \(82 = 2x\). Then divide both sides by \(2\): \(x=\frac{82}{2}\)

Answer:

\(x = 41\)