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

Answer:

Option C. 4 pairs; ∠2 and ∠4

Step-by-step 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