DMR #1

1. Write an algebraic expression for the sumof 35 and z.

Unit 22.1 Angle Basics

Definition

An _______ ( ) is formed by two rays with the same endpoint.Notation: B

T Q1

Example 1

Name the angle in four ways:

Try! Name the angle in four ways:

A

G

M

2

E

S

L

1

Example 2

Give the vertex and the sides of the angle:

Try! Give the vertex & sides of the angle:

A

G

M

2

E

S

L

1

Vertex _______

Sides _______, ________

Vertex _______

Sides _______, ________

Challenge!!

Match each angle below with the terms: acute, right, obtuse, and straight.

DMR #2

1. Write an algebraic expression for the sum of a number and 7.

Homework Answers

1. 2.3. 4.5. 6.7. 8.

Unit 22.2 Measuring Angles

Angle Types

Acute angle: Right angle:

Obtuse angle: Straight angle:

Example 1

Name an acute angle and a right angle.

Try! Name an obtuse angle and a straight angle.

L

PO

NM

Example 2

Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right.

Try!!

Example 3

Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right.

Try!!

Example 4

Use your protractor and give the degree measure of each angle. Then label the angle as acute, obtuse, or right.

Try!!

Challenge!!

Use the manipulatives to show Mrs. Gleason or Mrs. Holton an example of an acute angle, a right angle, an obtuse angle, and a straight angle.

DMR #3

1. Write an algebraic expression for the difference of twice a number x and 8

Homework Answers

1. 47ᵒ, acute 2. 119ᵒ, obtuse3. 40ᵒ, acute 4. 180ᵒ, straight5. 109ᵒ, obtuse 6. 142ᵒ, obtuse7. 22ᵒ, acute 8. 90ᵒ, right9. 140ᵒ, obtuse 10. 141ᵒ, obtuse

Unit 22.3 Angle Addition

Day 1

Angle Addition Postulate

If point B is in the interior of ےAOC, then m ےAOB + m ےBOC = m ےAOC.

If ےAOC is a straight angle, then m ےAOB + m ےBOC = 180.

A

O C

B

A O C

B

Example 1

If m ےRST = 50ᵒ and m ےRSW = 125ᵒ, then what is m ےTSW ?

Try!! If m ےBOC = 27ᵒ and m ےAOC = 47ᵒ, then what is m ےAOB ?

RS

WT

Example 2

If m ےRST = 42ᵒ and m ےTSW = 56ᵒ, then what is m ےRSW ?

Try!! If m ےBOC = 22ᵒ and m ےAOB = 25ᵒ, then what is m ےAOC ?

RS

WT

Challenge!!

If m ےDEG = 145, find m ےGEF.

D E F

G

DMR #4

1. Write the algebraic expression for the quotient of a number x and 12 increased by 1.

Homework Answers

1. 36ᵒ 2. 172ᵒ3. 29ᵒ 4. 146ᵒ5. 73ᵒ 6. 59ᵒ7. 20ᵒ 8. 115ᵒ

Unit 22.3 Angle Addition

Day 2

Definition

Example 1

BD bisects ےABC. If ےABC = 54ᵒ, then what is the m ےABD?

Try!! OY bisects ےXOZ. If ےXOZ = 88ᵒ, then what is the m ےYOZ?

Example 2

BD bisects ےABC. If mےABD = 3x – 5 and m ےDBC = 2x + 7, then solve for x.

Try!!

OY bisects ےXOZ. If mےXOY = 5x – 8 and m ےYOZ = 3x + 10, then solve for x.

Challenge!!

CO bisects ےAOB and DO bisects ےCOB. If mےCOD = x and m ےAOB = 120, then solve for x.