Question

"If parallel lines have a transversal, then corresponding angles are congruent."

On the fence, lines A and B are parallel and line C is a transversal. How many pairs of corresponding angles are available on the picture to use to prove the theorem? Which given pair of angles can be used?
A) 2 pairs; ∠5 and ∠1;
B) 2 pairs; ∠5 and ∠7;
C) 4 pairs; ∠2 and ∠4
D) 4 pairs; ∠3 and ∠5;

Answer 1

Option C. 4 pairs; ∠2 and ∠4

Explanation:

we know that

In the figure

`m<6=m<1` -----> by corresponding angles

`m<3=m<7` -----> by corresponding angles

`m<5=m<8` -----> by corresponding angles

`m<2=m<4` -----> by corresponding angles

therefore

Are available
`4` pairs of corresponding angles

The answer is the option C