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 angle relationship

Angles 1 and 2 are congruent (given hint: angles are congruent). So, \( m\angle1 = m\angle2 \).
\( m\angle1 = 128^\circ \), \( m\angle2 = 3x - 22 \). So, \( 128 = 3x - 22 \).

Step2: Solve for x

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

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

Answer:

\( x = 50 \)