Complementary, Supplementary, Vertical and Adjacent Angles

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vertical angles

A pair of "opposite" angles that form when two lines intersect.

Supplementary angles

A pair of angles that add up to 180 degrees.

Complementary angles

A pair of angles that add up to 90 degrees.

The angles MUST add up to 180

A straight line means:

Straight angle

An angle that is 180 degrees

Right angle

An angle that is 90 degrees

Obtuse angle

An angle that is greater than 90 degrees but less than 180 degrees

Acute angle

An angle that is less than 90 degrees

C = 15⁰ and S = 105⁰

What is the complement and supplement of an angle that measures 75⁰?

48⁰

What is the complement of an angle that measures 42⁰?

62

What is the measure of angle b?

85⁰

What is the supplement of an angle that measures 95⁰?

35

If the measure of Angle 1 is 145 then Angle 2 is ? degrees

50

If the measure of Angle 7 is 50 then Angle 6 is ? degrees

105

If the measure of Angle 1 is 105 then Angle 4 is ? degrees

34

If the measure of Angle 2 is 34 then Angle 3 is ? degrees

60

If the measure of Angle 2 is 60 then Angle 3 is ? degrees

110

If the measure of Angle 2 is 70 then Angle 4 is ? degrees

45

If the measure of Angle 3 is 45 then Angle 2 is ? degrees

120

If the measure of Angle 4 is 120 then Angle 1 is ? degrees

130

If the measure of Angle 5 is 130 then Angle 8 is ? degrees

135

If the measure of Angle 5 is 135 then Angle 8 is ? degrees

Congruent

Same size, same shape. Equal in measure.

12

Solve for x.

30

Solve for x.

Vertical angles are ALWAYS

Congruent

C = 67⁰ and S = 157⁰

Find the complement and supplement of the angle that measures 23⁰.

C = 35⁰ and S = 125⁰

Find the complement and supplement of the angle that measures 55⁰.

C = 24⁰ and S = 114⁰

Find the complement and supplement of the angle that measures 66⁰.

C = 5⁰ and S = 95⁰

Find the complement and supplement of the angle that measures 85⁰.

46⁰

Find the complement of the angle that measures 44⁰.

65⁰

Find the complementary angle of an angle with measure 25⁰.

61⁰

Find the complementary angle of an angle with measure of 29⁰.

56⁰

Find the supplement of the angle that measures 124⁰.

81⁰

Find the supplementary angle of the given angle whose measure is 99⁰.

37.5

If A is 37.5 degrees, what is b?

Adjacent Angles

two angles that share a side; two angles that are 'beside' each other.


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