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4. lines a and b are parallel. what is the measure of angle 4?

Question

  1. lines a and b are parallel. what is the measure of angle 4?

Explanation:

Step1: Identify angle - relationship

Angle 4 and the 143 - degree angle are alternate interior angles. When two parallel lines are cut by a transversal, alternate interior angles are congruent.

Step2: Determine angle 4 measure

Since alternate interior angles are equal, the measure of angle 4 is equal to the measure of the 143 - degree angle.

Answer:

$143^{\circ}$