LESSON 1 ASSIGNMENT - Carnegie Learning

LESSON 1 ASSIGNMENT U se a separate piece of paper for your Journal entry.

ASSIGNMENT

JOURNAL

REMEMBER

Describe the difference between the interior angles of a triangle and the remote interior angles of a triangle in your own words.

The sum of the measures of the interior angles of a triangle is 180?.

The measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle.

PRACTICE

1 Determine the measure of the unknown angle in each triangle.

aB

bP 80?

Q 66?

78? A

37? C

R

c

28? M

K 35?

L

dG

90? F

32? E

? Carnegie Learning, Inc.

Go to for help on the PRACTICE questions.

Lesson 1 Pulling a One-Eighty!

135

LESSON 1 ASSIGNMENT Continued

2 List the side lengths from shortest to longest for each diagram.

a

M

k

L 28? m

l 118?

K

b X bY

67?

79?

d

a 27? c

64?

W

e

Z

3 Determine the value of xin each diagram.

a

I

b

U

2x? H x?

K

J 81?

64?

90? RT

(x 1 8)? VS

c

132? MJ

K (2x 1 4)?

112? L

N

d G

F 90?

(3x 1 2)? (2x 1 18)?

D

E

? Carnegie Learning, Inc.

STRETCH Optional

To tessellate a plane means to cover a surface by repeated use of a single shape or design without gaps or overlaps. However, you cannot tessellate all shapes or patterns.

\ Use what you know about interior and exterior angles to show why it is possible to tessellate with a regular hexagon but not with a regular pentagon.

136 Topic 3 Line and Angle Relationships

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