circle the letter of the phrase that best completes any statement below. write this letter in each box at the bottom of the page that contains the statement number. (the exercises refer to the figure at the right, where m || n.) keep working and you will discover the answer to the title question.
1 two lines that intersect at right angles are (l) parallel (n) perpendicular
2 two lines in the same plane that never intersect are (c) parallel (k) perpendicular
3 a line that intersects two or more lines at different points is a (e) transversal (a) bisector
4 in the figure, the angles labeled 1, 2, 7, and 8 are (b) interior angles (g) exterior angles
5 the angles labeled 3, 4, 5, and 6 are (a) interior angles (t) exterior angles
6 pairs of angles such as those labeled 1 and 5, or 4 and 8, are (i) corresponding angles (u) adjacent angles
7 the angles labeled 3 and 6 are (k) alternate interior angles (d) alternate exterior angles
8 the angles labeled 4 and 5 are (w) alternate interior angles (p) alternate exterior angles
9 if two parallel lines are cut by a transversal, then corresponding angles are (t) supplementary (r) congruent
10 if m∠1 is 125°, then m∠5 is (s) 60° (h) 125°
11 alternate interior angles are (u) congruent (o) complementary
12 if m∠3 is 60°, then m∠6 is (b) 40° (l) 60°
13 if m∠3 is 60°, then m∠8 is (s) 120° (t) 60°

Question

Accepted Answer

### Question 4
# Explanation:
## Step1: Recall exterior angles definition
Exterior angles lie outside the two parallel lines. Angles 1,2,7,8 are outside $m$ and $n$, so they are exterior angles.
## Step2: Choose the correct option
Option (G) is "exterior angles", which matches.
# Answer: G. exterior angles

### Question 5
# Explanation:
## Step1: Recall interior angles definition
Interior angles lie between the two parallel lines. Angles 3,4,5,6 are between $m$ and $n$, so they are interior angles.
## Step2: Choose the correct option
Option (A) is "interior angles", which matches.
# Answer: A. interior angles

### Question 6
# Explanation:
## Step1: Recall corresponding angles definition
Corresponding angles are in the same position relative to the transversal and parallel lines. Angles 1&5, 4&8 are corresponding.
## Step2: Choose the correct option
Option (I) is "corresponding angles", which matches.
# Answer: I. corresponding angles

### Question 7
# Explanation:
## Step1: Recall alternate interior angles definition
Alternate interior angles are inside the parallel lines, on opposite sides of the transversal. Angles 3&6 are alternate interior.
## Step2: Choose the correct option
Option (K) is "alternate interior angles", which matches.
# Answer: K. alternate interior angles

### Question 8
# Explanation:
## Step1: Recall alternate interior angles definition
Alternate interior angles are inside the parallel lines, on opposite sides of the transversal. Angles 4&5 are alternate interior.
## Step2: Choose the correct option
Option (W) is "alternate interior angles", which matches.
# Answer: W. alternate interior angles

### Question 9
# Explanation:
## Step1: Recall corresponding angles postulate
When parallel lines are cut by a transversal, corresponding angles are congruent.
## Step2: Choose the correct option
Option (R) is "congruent", which matches.
# Answer: R. congruent

### Question 10
# Explanation:
## Step1: Identify angle relationship
$\angle1$ and $\angle5$ are corresponding angles (since $m\parallel n$), so they are congruent.
## Step2: Find $m\angle5$
If $m\angle1 = 125^\circ$, then $m\angle5 = 125^\circ$. Option (H) is $125^\circ$.
# Answer: H. $125^\circ$

### Question 11
# Explanation:
## Step1: Recall alternate interior angles property
Alternate interior angles are congruent when lines are parallel.
## Step2: Choose the correct option
Option (U) is "congruent", which matches.
# Answer: U. congruent

### Question 12
# Explanation:
## Step1: Identify angle relationship
$\angle3$ and $\angle6$ are alternate interior angles (since $m\parallel n$), so they are congruent.
## Step2: Find $m\angle6$
If $m\angle3 = 60^\circ$, then $m\angle6 = 60^\circ$. Option (L) is $60^\circ$.
# Answer: L. $60^\circ$

### Question 13
# Explanation:
## Step1: Find $m\angle4$ first
$\angle3$ and $\angle4$ are supplementary (linear pair), so $m\angle4 = 180^\circ - 60^\circ = 120^\circ$.
## Step2: Identify angle relationship
$\angle4$ and $\angle8$ are corresponding angles (since $m\parallel n$), so $m\angle8 = m\angle4 = 120^\circ$. Option (S) is $120^\circ$.
# Answer: S. $120^\circ$

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QUESTION IMAGE

Question

Explanation:

Question 4

Step1: Recall exterior angles definition

Step2: Choose the correct option

Step1: Recall interior angles definition

Step2: Choose the correct option

Step1: Recall corresponding angles definition

Step2: Choose the correct option

Answer:

Question 5