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find the value of x. 123° (5x + 98)°

Question

find the value of x.
123°
(5x + 98)°

Explanation:

Step1: Identify angle relationship

The two angles are corresponding angles (since lines are parallel, cut by transversal), so they are equal. Thus, \(5x + 98 = 123\).

Step2: Solve for \(x\)

Subtract 98 from both sides: \(5x = 123 - 98 = 25\).
Divide by 5: \(x = \frac{25}{5} = 5\).

Answer:

\(x = 5\)