The measures of the numbered angles are as follows:
3.
- m∠1 139°
- m∠2 = 41°
- m∠3 = 139°
- m∠4 = 139°
- m∠5 = 41°
- m∠6 = 139°
- m∠7 = 41°
4.
- m∠1 = 117°
- m∠2 = 63°
- m∠3 = 117°
- m∠4 = 63°
- m∠5 = 117°
- m∠6 = 63°
- m∠7 = 63°
<h3>How to find measures of angles?</h3>
When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.
Therefore, line a and b are parallel to each other. The transversal line t cut the parallel lines.
Hence,
3.
m∠1 = 180 - 41 = 139° (angles on a straight line)
m∠2 = 41° (vertically opposite angles)
Vertically opposite angles are congruent.
m∠3 = 139° (vertically opposite angles)
m∠4 = 180 - 41 = 139° (same interior angles)
Same interior angles are supplementary.
m∠5 = 41° (same interior angles)
m∠6 = 139° (vertically opposite angles)
m∠7 = 41° (vertically opposite angles)
4.
m∠1 = 117° (alternate exterior angles)
Alternate exterior angles are congruent
m∠2 = 180 - 117 = 63° (sum of angles on a straight line)
m∠3 = 117° (vertically opposite angles)
m∠4 = 63° (vertically opposite angles)
m∠5 = 117° (vertically opposite angles)
m∠6 = 180 - 117 = 63° (sum of angles on a straight line)
m∠7 = 63° (vertically opposite angles)
learn more on angles here: brainly.com/question/19068435
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