section 3: angle relationships
type of angle relationship | drawing | characteristics
complementary angles | drawing with 52° and 38° | two angles that add up to 90°
supplementary angles | drawing with 128° and 52° | two angles that add up to 180°

section 4: practice
name each relationship below.
① drawing: straight line with 180° → straight angle
② drawing: two parallel lines → parallel lines
③ drawing: 60° and 30° angles → complementary angles
④ drawing: right angle → right angle
⑤ drawing: 45° and 135° angles on straight line → supplementary angles
⑥ drawing: perpendicular lines → perpendicular lines
⑦ drawing: intersecting lines? →
⑧ drawing: 35° angle →
⑨ drawing: 105° angle →
⑩ drawing: cube with arrows →
⑪ drawing: angle (2150°?) →

word bank:
□ acute angle
□ complementary angles
□ intersecting lines
□ obtuse angle
□ parallel lines
□ perpendicular lines
□ reflex angle
□ right angle
□ skew lines
□ straight angle
□ supplementary angles

Question

section 4: practice
name each relationship below.
① drawing: straight line with 180° → straight angle
② drawing: two parallel lines → parallel lines
③ drawing: 60° and 30° angles → complementary angles
④ drawing: right angle → right angle
⑤ drawing: 45° and 135° angles on straight line → supplementary angles
⑥ drawing: perpendicular lines → perpendicular lines
⑦ drawing: intersecting lines? →
⑧ drawing: 35° angle →
⑨ drawing: 105° angle →
⑩ drawing: cube with arrows →
⑪ drawing: angle (2150°?) →

word bank:
□ acute angle
□ complementary angles
□ intersecting lines
□ obtuse angle
□ parallel lines
□ perpendicular lines
□ reflex angle
□ right angle
□ skew lines
□ straight angle
□ supplementary angles

Accepted Answer

### Problem 1:
# Explanation:
## Step1: Identify the angle type.
The angle is a straight line with a $180^\circ$ mark, so it's a straight angle.
# Answer:
straight angle

### Problem 2:
# Explanation:
## Step1: Analyze the lines.
The two lines never meet and are equidistant, so they are parallel lines.
# Answer:
parallel lines

### Problem 3:
# Explanation:
## Step1: Check angle sum.
The angles are $60^\circ$ and $30^\circ$ (assuming the other is $30^\circ$ as they add to $90^\circ$), so they are complementary angles.
# Answer:
complementary angles

### Problem 4:
# Explanation:
## Step1: Observe the angle.
The angle is $90^\circ$ (right angle symbol), so it's a right angle.
# Answer:
right angle

### Problem 5:
# Explanation:
## Step1: Check angle sum.
$45^\circ + 135^\circ = 180^\circ$, so they are supplementary angles.
# Answer:
supplementary angles

### Problem 6:
# Explanation:
## Step1: Analyze the lines.
The lines intersect at $90^\circ$, so they are perpendicular lines.
# Answer:
perpendicular lines

### Problem 7:
# Explanation:
## Step1: Analyze the lines.
The lines cross each other, so they are intersecting lines.
# Answer:
intersecting lines

### Problem 8:
# Explanation:
## Step1: Check angle measure.
The angle is $35^\circ$, which is less than $90^\circ$, so it's an acute angle.
# Answer:
acute angle

### Problem 9:
# Explanation:
## Step1: Check angle measure.
The angle is $105^\circ$, which is greater than $90^\circ$ and less than $180^\circ$, so it's an obtuse angle.
# Answer:
obtuse angle

### Problem 10:
# Explanation:
## Step1: Analyze the lines.
The lines are not in the same plane and don't intersect, so they are skew lines.
# Answer:
skew lines

### Problem 11:
# Explanation:
## Step1: Check angle measure.
The angle is $250^\circ$, which is greater than $180^\circ$ and less than $360^\circ$, so it's a reflex angle.
# Answer:
reflex angle

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1:

Step1: Identify the angle type.

Step1: Analyze the lines.

Step1: Check angle sum.

Answer:

Problem 2: