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2. the figures shown are a reflection. find the value of x. a. 6 b. 41 …

Question

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

Explanation:

Step1: Use reflection property

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

Step2: Solve the equation

Subtract \(19\) from both sides: \(2x=101 - 19\), \(2x = 82\).
Divide both sides by \(2\): \(x=\frac{82}{2}\).

Answer:

B. \(41\)