Question

Which answer gives statements that should be used to prove angles 4 and 6 are congruent?

A. Angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.
B. Angles 6 and 5 form a linear pair; angles 5 and 1 are congruent as corresponding angles.
C. Angles 4 and 3 form a linear pair; angles 3 and 1 are congruent as vertical angles.
D. Angles 4 and 2 are congruent as vertical angles; angles 8 and 6 are congruent as vertical angles.

Answer 1

Answer:

Angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.

Step-by-step explanation:

We know that in the given diagram

The vertical angles are the opposite angles formed when two line's meet like 8 , 6 in the given diagram.These angles are clearly equal.

The corresponding angles are the angles formed when a line meets two parallel line's Like angles 4 , 8 or 3 , 7 etc. These are also same because the cutting line makes equal angles with the two parallel line's .

So angle 4 and angle 8 are equal because they are corresponding angles and the angles 8 and angle 6 are equal because they are vertical angles.

Therefore angle 4 and angle 8 are equal.

Answer 2

Answer:

Angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles.

Step-by-step explanation: