Math 7 Angle Pairs, Describe based on their measures #grade7 #matatagcurriculum #anglepairs #matatag

Created from Youtube video: https://www.youtube.com/watch?v=WZFxNJHmGiUvideo

Concepts covered:complementary angles, supplementary angles, adjacent angles, vertical angles, linear pairs

The video explains different types of angle pairs, including complementary, supplementary, adjacent, vertical, and linear pairs, using detailed examples and illustrations. It also provides exercises to help viewers identify these angle pairs in various figures.

Table of Contents1.Understanding Complementary Angles and Other Angle Pairs 2.Understanding Supplementary and Adjacent Angles 3.Understanding Vertical, Supplementary, and Linear Angles 4.Understanding Angle Relationships 5.Understanding Angle Relationships

chapter

Understanding Complementary Angles and Other Angle Pairs

Concepts covered:complementary angles, angle pairs, 90 degrees, mathematics tutorial, examples

This chapter explains different types of angle pairs, including complementary, supplementary, adjacent, vertical, and linear pairs. It provides examples and detailed explanations, particularly focusing on how to determine if two angles are complementary by ensuring their measures add up to 90 degrees.

Question 1

Two angles are complementary if their sum is 90 degrees.

Question 2

Can complementary angles be non-adjacent?

Question 3

Two angles are complementary if their sum is _____.

Question 4

CASE STUDY: You have two angles, one measuring 45° and the other unknown. They are complementary.

Which statement is incorrect?

Question 5

CASE STUDY: You are given two angles, one measuring 60° and the other unknown. They are complementary.

Select two correct statements about the angles.

chapter

Understanding Supplementary and Adjacent Angles

Concepts covered:supplementary angles, adjacent angles, common side, common vertex, 180 degrees

The chapter explains the concept of supplementary angles, where the sum of two angles equals 180 degrees. It also discusses adjacent angles, which share a common side and vertex but do not overlap in their interior points.

Question 6

Two angles summing to 180° are supplementary.

Question 7

Are angles 1 and 2 supplementary if separated?

Question 8

Angles with a sum of 180° are called _____.

Question 9

CASE STUDY: Two angles are adjacent and supplementary. One angle measures 45°.

Identify the incorrect statement about the angles.

Question 10

CASE STUDY: You have two angles, one measuring 150° and the other is unknown. They are supplementary.

Select two correct statements about the unknown angle.

chapter

Understanding Vertical, Supplementary, and Linear Angles

Concepts covered:vertical angles, supplementary angles, linear pairs, adjacent angles, intersecting lines

The chapter explains the concept of vertical angles, which are pairs of opposite angles formed by two intersecting lines and are always equal. It also discusses supplementary angles, which are pairs of angles that add up to 180 degrees, and linear pairs, which are adjacent angles that are both supplementary and share a common side.

Question 11

Linear pairs are both adjacent and supplementary.

Question 12

What is the sum of angles in a linear pair?

Question 13

A linear pair of angles is both adjacent and ____.

Question 14

CASE STUDY: Two lines intersect forming four angles. Angle 1 is 45° and Angle 4 is 135°. Verify the relationships between the angles.

All of the following are correct applications of supplementary angles except...

Question 15

CASE STUDY: In a diagram with intersecting lines, Angle 2 is 75°. Identify the measures of the vertical and adjacent angles.

Select two correct measures of angles.

chapter

Understanding Angle Relationships

Concepts covered:vertical angles, adjacent angles, linear pairs, complementary angles, angle relationships

The chapter discusses various types of angle relationships, including vertical angles, adjacent angles, linear pairs, and complementary angles. It provides examples and explanations for identifying these relationships based on their positions and common sides or vertices.

Question 16

Complementary angles sum up to 90 degrees.

Question 17

What type of angle pair are angles OP and H?

Question 18

Angle OP and angle OPE fall on a straight line, making them _____ angles.

Question 19

CASE STUDY: You are given two angles, one marked in blue and the other in red, that form a straight line and sum up to 180 degrees.

All of the following describe the angles except...

Question 20

CASE STUDY: You are given two angles, one marked in blue and the other in green, that are adjacent and sum up to 90 degrees.

Select two correct descriptions of the angles.

chapter

Understanding Angle Relationships

Concepts covered:supplementary angles, complementary angles, linear pairs, vertical angles, angle identification

The chapter discusses various types of angles and their relationships, such as supplementary, complementary, linear pairs, and vertical angles. It provides specific examples and explanations for identifying these angles in given figures.

Question 21

Are supplementary angles always 180 degrees?

Question 22

Identify a pair of obtuse vertical angles.

Question 23

What is one pair of obtuse vertical angles? _____

Question 24

CASE STUDY: You are working on a problem involving linear pairs. You need to identify the angle that forms a linear pair with angle XCT.

Which angle forms a linear pair with XCT?

Question 25

CASE STUDY: Given a figure, you need to identify angles that form a linear pair.

Select angles that form a linear pair.

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