Question

Help!? Helping my son with geometry ... I have no clue what I’m doing here

Answer 1

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°)