Angle Relationships and Properties

Miss Go introduces the lesson on solving unknown angles using equations. The lesson covers angle relationships such as adjacent, vertical, supplementary, complementary, and angles at a point. Three examples are provided to demonstrate solving for unknown angles in different scenarios. The lesson concludes with a summary of the angle relationships and problem-solving techniques discussed.

What is the main focus of today's lesson?

• Learning about different types of triangles

• Exploring the concept of parallel lines

• Solving for unknown angles using equations

• Understanding the properties of circles

Which angle relationship involves angles that add up to 180 degrees?

• Complementary angles

• Vertical angles

• Adjacent angles

• Supplementary angles

What is the sum of angles at a point?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In Example 1, what is the ratio of the two supplementary angles?

• 2:3

• 4:5

• 1:2

• 3:4

How do you express the two angles in Example 1 using a variable?

• 2x and 3x

• 3x and 4x

• x and 2x

• x and 3x

In Example 2, what is the relationship between the larger and smaller angle?

• The larger angle is equal to the smaller angle

• The larger angle is twice the smaller angle

• The larger angle is three times the smaller angle

• The larger angle is half the smaller angle

What is the sum of complementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In Example 3, what is the equation set up for the vertical angles?

• x + 30 = 3x

• x = 3x + 30

• 3x = x + 30

• 2x = x + 30

What is the value of x in Example 3?

• 25

• 20

• 15

• 10

What is the measure of each vertical angle in Example 3?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees