We are Given:
∠1 = 65°
Finding the measure of all other angles with proof:
∠2:
∠1 + ∠2 = 180° (angle 1 and 2 form a Linear Pair)
65 + ∠2 = 180 (Angle 1 = 65°)
∠2 = 180 - 65
∠2 = 115°
∠3:
∠1 = ∠3 (Angle 1 and 3 are vertically opposite)
65 = ∠3 (Angle 1 = 65°)
∠3 = 65°
∠4:
∠4 = ∠2 (Vertically opposite angles)
∠4 = 115° (∠2 = 115°)
∠5:
∠5 = ∠1 (Corresponding angles)
∠5 = 65° (∠1 = 65°)
∠6:
∠6 = ∠2 (Corresponding angles)
∠6 = 115° (∠2 = 115°)
∠7:
∠7 = ∠3 (Corresponding Angles)
∠7 = 65° (∠3 = 65°)
∠8:
∠8 = ∠4 (Corresponding angles)
∠8 = 115° (∠4 = 115°)
