Solving 7th-grade Math Page 72 in the first volume of the Creative Horizon series

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Solving 7th-grade Math Page 72 in the first volume of the Creative Horizon series

Special Positions of Angles

1. Solve Exercise 1 Page 72 Mathematics Textbook Grade 7

2. Solve Exercise 2 Page 72 Mathematics Textbook Grade 7

3. Solve Exercise 3 Page 72 Mathematics Textbook Grade 7

4. Solve Exercise 4 Page 72 Mathematics Textbook Grade 7

5. Solve Exercise 5 Page 72 Mathematics Textbook Grade 7

Here is the document for solving 7th-grade Math Page 72 in the first volume of the Creative Horizon series. Master the lesson on Special Positions, referring to it to grasp the knowledge and visualize the solving process. This will help you easily and accurately solve homework exercises.

Explore various study materials for successful learning in Math 7:
- Complete set of Solving 7th-grade Math Creative Horizon series
- Solving 7th-grade Math Page 69, 70 in the first volume of the Kite series - Review exercises in Chapter 2
- Solving 7th-grade Math Page 50 in the first volume of the Knowledge Connection series - Concentrated practice on page 50

Solving 7th-grade Math Page 72 in the first volume of the Creative Horizon series

Special Positions of Angles

1. Solve Exercise 1 Page 72 Mathematics Textbook Grade 7

Guidelines for solving:

a) Two adjacent angles are two angles with a common side and no common interior points.

2. Solve Exercise 2 Page 72 Mathematics Textbook Grade 7

3. Solve Exercise 3 Page 72 Mathematics Textbook Grade 7

4. Solve Exercise 4 Page 72 Mathematics Textbook Grade 7

Problem: Find the measures of the remaining angles in each figure.

Guidelines for solving:

Opposite angles are equal.

Adjacent complementary angles have a total measure of 180 degrees.

Answer:

a) We have (two opposite angles).

(two adjacent supplementary angles).

Since a and c are two opposite angles, therefore

b) We have: (two opposite angles).

(two adjacent supplementary angles).

5. Solve Exercise 5 Page 72 Mathematics Textbook Grade 7

Problem: Which sides of the windows (Figure 16) are perpendicular to each other? Use the symbol (⊥) to represent them.

Guidelines for solving:

When two lines intersect to form a right angle, those two lines are perpendicular.

Answer:

Here is the document for solving 7th-grade Math Page 72 in the first volume of the Creative Horizon series. I hope you can complete the exercises more easily, reinforce, and enhance your knowledge of the lesson.

References:
- Solving 7th-grade Math Page 75 in the first volume of the Creative Horizon series - Exercise 2: Bisector ray
- Solving 7th-grade Math Page 80, 81 in the first volume of the Creative Horizon series - Exercise 3: Two parallel lines

Frequently Asked Questions

What is the purpose of the Special Positions of Angles lesson in 7th-grade math?

The Special Positions of Angles lesson helps students understand adjacent and opposite angles, complementary angles, and perpendicular lines. This foundational knowledge is crucial for solving math problems accurately in 7th-grade geometry.

How do I solve Exercise 1 on Page 72 of the 7th-grade math textbook?

To solve Exercise 1, identify two adjacent angles that share a common side and no common interior points. Use this understanding to find the missing angle measures in the given figures.

What is the rule for opposite angles in 7th-grade geometry?

Opposite angles are always equal. This principle helps in solving various angle-related problems, including identifying angle pairs in geometric figures on Page 72 of the Creative Horizon series.

How can I identify perpendicular lines in geometry problems?

Perpendicular lines are two lines that intersect to form a right angle (90 degrees). In problems like Exercise 5, use the symbol (⊥) to represent perpendicular lines and identify them based on this property.

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