Question

Please assist me with this proof. I am so confused​

Answer 1

After the first reason F the order is:

C.

D.

E

B.

A.

Explanation:

Alternate interior angles theorem

Congruent angles have equal measures.

Linear pair postulate.

Angle addition postulate.

Substitution property of equality.

Answer 2

Explanation:

Angle 1 is congruent to angle 4 because they obey alternate interior angles theorem. Same applies to angle 2 and angle 5.

Congruent angles have equal measurement hence, angle 1 = angle 4 and angle 2 = angle 5

According to linear postulate, angle 4 + angle CAD = 180°

According to the angle addition postulate, angle 3 + angle 5 = angle CAD

Lastly, applying the substitution property of equality,

Angle 3 + angle 4 + angle 5 = 180

Angle 1 + angle 3 + angle 2 = 180