Question

4. Euclid's Parallel Postulate (read it again from the class work) is sometimes phrased as the following: Two straight lines that are crossed by a transversal will only be parallel if the sum of the two interior angles formed on the same side of the transversal is equivalent to the sum of two right angles.

Answer 1

a) Because Euclid's Parallel Postulate

the angles of 114° and 64° don't sum 180° so these lines are not parallels

b) On the right side because the greater angle(114°) is up

if the angle in red is greater than the angle in blue the lines will intersect on the right side.

c) }Yes, you can base your answer on the position of the greater angle, if this angle is up on the right side the lines will intersect on the right side, if the greater angle is down on the right side the lines will intersect in the left side

base in the position of the angles shown in the image