1) Since we have a pair of parallel lines cut by transversal ones then we can state the following conclusions about the angles formed
2) Let's set our table
m∠1
m∠2
m∠3
m∠4
m∠5 = 83º ∠9 and ∠10 are supplementary angles
m∠6 = 97º ∠6 and ∠7 are consecutive interior angles (supplementary)
m∠7 = 114º ∠7 and ∠12 are alternate interior angles (congruent)
m∠8 =66º ∠8 and ∠11 are alternate interior angles (congruent)
m∠9 =97º Given
m∠10 = 180 - 97 =83º ∠9 and ∠10 are supplementary angles
m∠11 = 180º -114º = 66º ∠11 and ∠12 are supplementary angles
m∠12 = 114º Given
m∠13 = 83º ∠10 and ∠13 are Vertical angles
m∠14 = 97º ∠9 and ∠14 are Vertical angles
m∠15= 114º ∠12 and ∠15 are Vertical angles
m∠16 = 66º ∠11 and ∠16 are Vertical angles
