Question

Two parallel lines, m and n, are cut by the transversal k as shown. suppose m∠1 = 60°. Complete the statements below.

Answer 1

We see that ∠1 and ∠2 are Vertically Opposite Angles

Thus, ∠1 and ∠2 are equal.

So, m∠2=60°

We see that ∠2 and ∠3 are Corresponding Angles.

And since the lines m and n are parallel, ∠2 and ∠3 are equal.

So, m∠3=60°

Therefore, ∠1 and ∠3 are equal angles.