Answer:
Here is the solution:
Since lines g and h are parallel and the transversal forms an 84° angle (angle 7), we can use the alternate interior, corresponding, and vertical angles properties to find the measures of the other angles:
- \(m\angle1 = 84°\) (corresponding angles are congruent with angle 7)
- \(m\angle2 = 96°\) (supplementary to angle 1)
- \(m\angle3 = 84°\) (alternate interior angles are congruent with angle 7)
- \(m\angle4 = 96°\) (vertical angles are congruent with angle 2)
- \(m\angle5 = 84°\) (alternate interior angles are congruent with angle 3)
- \(m\angle6 = 96°\) (corresponding angles are congruent with angle 4)
- \(m\angle7 = 84°\) (given)
Therefore, the measures of the indicated angles are:
- m\angle1 = 84°
- m\angle2 = 96°
- m\angle3 = 84°
- m\angle4 = 96°
- m\angle5 = 84°
- m\angle6 = 96°
- m\angle7 = 84°
I hope this helps.
