Answer:
m∠1 = 83
m∠2 = 97
m∠3 = 83
m∠4 = 97
m∠5 = 83
m∠6 = 97
m∠7 = 83
Explanation:
When two lines are parallel,
- Alternate interior angle are equal.
- Vertically opposite angles are equal.
- Sum of linear pair angles is 180.
m∠8 = m∠4 = 97 ( Alternate interior angles )
m∠8 = m∠2 = 97 ( Alternate interior angles )
m∠6 = m∠4 = 97 ( Vertically opposite angles )
m∠2 and m∠3 are linear pair angles,
m∠2 + m∠3 = 180
97 + m∠3 = 180
m∠3 = 180 - 97
m∠3 = 83
m∠1 = m∠3 = 83 ( Vertically opposite angles )
m∠3 = m∠7 = 83 ( Alternate interior angles )
m∠7 = m∠5 = 83 ( Vertically opposite angles )