Question

the measure of angle 1 is 128 degrees. the measure of angle 2 is (3x -22). solve for x. hint: the angles are congruent

Explanation:

Step1: Identify congruent angles

Since angles 1 and 2 are congruent (from the hint and parallel lines), set their measures equal: \(3x - 22 = 128\).

Step2: Solve for x

Add 22 to both sides: \(3x = 128 + 22\)
\(3x = 150\)

Divide by 3: \(x = \frac{150}{3}\)
\(x = 50\)

Answer:

\(x = 50\)