Question

"Danny draws a transversal, t, on two parallel lines AB and CD, as shown below.

He makes the following table to prove that the alternate interior angles are equal. "

Answer 1

It seems that you have missed the necessary options for this question, but anyway, here is the answer. So based on the given tables and figures above made by Danny proving that the alternate interior angles are equal, the missing justification would be that the corresponding angles formed by a transversal on parallel lines are congruent. Hope this answer helps.

Answer 2

Two parallel lines AB and CD are cut by transversal t .We need to prove alternate interior angles are equal or we need to prove < 4= <6.( The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)

The table made by Danny is missing the justification for <2=<6.

These angles are in matching corners and are called corresponding angles.When two parallel lines are cut by transversal corresponding angles are equal.

<2=<6 these angles are equal as they are corresponding angles.