Question

We see that 22 and 23 are Choose one And since the lines u and y are parallel, 22 and 23 are Choose one So, mZ3 = ° We see that 21 and 22 are Choose one Thus, 21 and 22 are Choose one So, mZ1 = 1 Therefore, 21 and 23 are Choose one We also see that 21 and 23 are Choose one < The relationship between 21 and 23 is an example of the following rule. When parallel lines are cut by a transversal, Choose one

Answer 1

Answers:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Step-by-step explanation:

The angles formed by two parallel lines and a transversal that are on the same side of the transversal and in the same position from the parallel lines are called corresponding angles. These angles have the same measure so they are also congruent.

So, we can fill the first part as:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

On the other hand, two opposite angles formed by two lines that cross are called vertically opposite. So, these angles have the same measure.

So, we can fill the second part as:

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

Finally, we can fill the third part as:

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Because alternate interior angles are the angles that are inside the parallel line and on opposite sides of the transversal.