Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.
What are parallel lines?
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?
The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. By applying the supplementary angle theorem, the measure of angle 6 is given by:
Q + R = 180°
153° + m<6 = 180°
Angle 6 = 180° - 153°
Angle 6 ≡ Angle 4 = 17°
Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:
Q + R = 180°
17° + m<3 = 180°
Angle 3 = 180° - 17°
Angle 3 = 153°
Read more on alternate interior angle here: https://brainly.com/question/28670504
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