Two Angles are COMPLEMENTARY if:

• Their measures add to 90 degree.

complementarynon-adjacent

43

complementaryadjacent

2

1

50o

40o32o

58o

Two angles are SUPPLEMENTARY if

• Their measures add to 180 degrees.

SupplementaryNON-Adjacent

43

SupplementaryAdjacent

21

74o 106o145o

35o

If the m< 1 = 37 degrees and m<2 = 90 degrees, find the following:

M < 5 ____________

M< 4 ____________

M<3 ____________

If the m< 1 = 37 degrees and m<2 = 90 degrees, find the following:

M < 5 ____________

M< 4 ____________

M<3 ____________M<1 + m<2 + m<3 = 180 so 37 + 90 + m<3 = 180 m<3 = 53o

M<1 + m<5 = 180 so 37 + m<5 = 180 m<5 = 143o

M<4 + m<5 = 180 so 143 + m<4 = 180 m<5 = 37o

90o

37o

Given: M<2 = 28 degrees, and m<1 = m<2

Find:

M<4 _____________

M<3 _____________

Given: M<2 = 28 degrees, and m<1 = m<2

Find:

M<4 _____________

M<3 _____________

M<1 + m<4 = 180 so 28 + m<4 = 180 m<4 = 152o

m<2 + m<3 = 180 so 28 + m<3 = 180 m<3 = 152o

28o

28o

51o

24o

m<a = 180 – 24 - 51

24o (vertical to <b)

m<d = 180 – 24 - 51

51o

(c vertical to <f)

105o 105o

32o

81o

m<c = 180 – 81 - 32

67o (vertical to <c)81o

(d vertical to <a)

67o 32o

(vertical to <b)

Corresponding Angles

• Pairs of Corresponding Angles are congruent.

<1 ~ <5

<3 ~ <7

<2 ~ <6

<4 ~ <8

Alternate Interior Angles

Pairs of Alternate Interior Angles are congruent.

<4 ~ <5

<3 ~ <6

Alternate Exterior Angles

Pairs of Alternate Exterior Angles are congruent.

<1 ~ <8

<2 ~ <7

Consecutive Interior Angles

Pairs of

Consecutive Interior

Angles are supplementary.

+ =180 (<3 ~ <5)

+ =180 (<4 ~ <6)

State the Vocabulary and Rule that justifies the claim:

State the Vocabulary and Rule that justifies the claim:

If //, Corresponding Angles are congruent.

If //, Alternate Interior Angles are congruent.

If //, Alternate Exterior Angles are congruent.

If //, Same-side Interior Angles

are Supplementary.

Given: m<u = 105o

Find the measure of the other 7 angles.

A t B

u

s

D

C

v

x

y

w

z

Given: m<w = 77o

Find the measure of the other 7 angles.

A t B

u

s

D

C

v

x

y

w

z

77o

77o

77o

77o

103o

103o

103o

103o

118o

62o

118o118o

118o

62o 62o

62o