if two intersecting lines form congruent adjacent angles, what can you conclude about the lines?...

If two intersecting lines form congruent adjacent angles, what can you conclude

about the lines?

i-can find x:Page x

of your INB

Write down this problem on your

READY RECALL SHEETBe prepared to explain your answer

if you are called on.

x

62139

ITEMS of BUSINESS

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Test Retakes until Tues/Wed (Feb 10/11)To Earn: Rework Complete

Unit 7 Practice Test CompleteMake an Appointment

Have your homework out on your desk.

RE- Try this CHALLENGE question:

If 1 and 2 are complementary and 1 is 4 times the measure of 2, what is the m1 ? Hint:Assign 1 = x and 2 = y (Show your Work)

x + y = 90 and x = 4y 4y + y = 90 5y = 90 Y = 18

x = 4(18)x = 721 = 72

LINE AND ANGLE RELATIONSHIPS

10.2 Interior and Exterior Angles

Page xx of your INB

i-can find x:

Get into your Groups

x

62139

Triangle Sum Theorem

Exterior Angle Theorem

CUT OUT Your TRIANGLE CARDS

?

What is the above angle measure?Lets keep this in mind

TRIANGLE SUM ACTIVITY

inb

Page xx of your INB

i-can find x:

Get into your Groups

x

62139

Triangle Sum Theorem

Exterior Angle Theorem

TRIANGLE CARDS

FILL IN THE INFORMATION

The sum of the angles in a triangle

is 180.

a + b + c = 180

TRIANGLE UNKNOWNS

45

?

X X

X

find x

180-90-453x = 1

3x = 180 3 3

x = 60

4545

606060

EQUATION CARDSSET UP THE EQUATION AND SOLVE FOR

X

2x + 3x + 4x = 180

9x = 180

9x = 180 9 9

x = 20

?

Triangle Angle Names

Exterior Angle

RemoteInterior Angles

FYI Another Name for Remote Interior Angles are: Non-adjacent Angles

EXTERIOR ANGLE

THEOREM ACTIVITY inb

Page xx of your INB

i-can find x:

Get into your Groups

x

62139

Triangle Sum Theorem

Exterior Angle Theorem

TRIANGLE CARDS

FILL IN THE INFORMATION

The sum of the Remote Interior

Angles equal the

measure of theExterior Angle.

a + b = d

TRIANGLE UNKNOWNS

45

?1

57 °

?

45 + 90 = ?

135135

?

? + 57 = 120

? + 57 = 120 - 57 -57 ? = 63

63

63

EQUATION CARDSSET UP THE EQUATION AND SOLVE FOR

X

2x + 3x = 105

5x = 105

5x = 105 5 5

x = 21

Day 1 – Integer operations, PEMDAS, evaluating10.2 Interior and Exterior Angles

i-can find x:

Number 13 on your Homework

x

62139

x + 62 = 139

x + 62 = 139 - 62 - 62 x = 7777

CHAPTER 10 VOCAB ORGANIZER

Now fill out the next 2 blank lines.

The sum of the angles in a triangle

is 180.

a + b + c = 180

The sum of the Remote Interior Angles equal the

measure of the Exterior Angle.a + b = d

?

From our last Chapter…When figures get bigger,do the angles get bigger?

SIMILARITY THEOREM

A A’

Sides get bigger . . .

If you had 2 triangles with the same angle measures, would the triangles be similar?

3030

2525

125 125

but ANGLES DON’T!

?SIMILARITY THEOREM

2525

125 125

SAME ANGLES SAME SHAPE!

IF 2 angles are congruent ‘s are SIMILAR

What’s the MINIMUM number of anglesyou need to know to determine

if 2 triangles are similar???

Are These Triangles Similar?

𝑌𝐸𝑆 :∆ 𝐴𝐵𝐶 ∆𝐷𝐸𝐹

CHAPTER 10 VOCAB ORGANIZER

Now fill in the next blank line.

∆ 𝐴𝐵𝐶 ∆𝐷𝐸𝐹If 2 angles are

‘s are SIMILAR

Worksheet10.2

Interior and Exterior Angles

in a Triangle