Question

The figure below shows parallel lines cut by a transversal:

A pair of parallel lines is shown with arrowheads on each end. A transversal cuts these two lines. An angle formed between the top parallel line and the transversal on the outer right side is marked 1. Another angle formed between the top parallel line and the transversal on the inner left side is marked 2

Which statement is true about ∠1 and ∠2?

∠1 and ∠2 are congruent because they are a pair of vertical angles.
∠1 and ∠2 are congruent because they are pair of corresponding angles.
∠1 and ∠2 are complementary because they are a pair of vertical angles.
∠1 and ∠2 are complementary because they are pair of corresponding angles.

Answer 1

Answer:

(A)

Step-by-step explanation:

It is given that A pair of parallel lines is shown with arrowheads on each end. A transversal cuts these two lines. An angle formed between the top parallel line and the transversal on the outer right side is marked 1. Another angle formed between the top parallel line and the transversal on the inner left side is marked 2.

Now, from the figure, we can see that both ∠1 and ∠2 form vertically opposite angles and also, the vertically opposite angles are equal in nature, therefore the ∠1 and ∠2 are congruent because they area pair of vertical angles.

Thus, option A is correct.

Answer 2

Answer:

A) ∠1 and ∠2 are congruent because they are a pair of vertical angles.

Step-by-step explanation: