W16: Angle Relationships

Adjacent angles are two angles that share a common ​ (a)   and a common (b)   . They are next to each other.

A linear pair are two ​ (c)   angles that form a straight line. They are always ​ (d)   , adding to 180 degrees.

A trasversal is a ​ (e)   that crosses two or more other lines.

• vertex
• side
• adjacent
• supplementary
• line

Match the following

• Adjacent Angles

• 
• Vertical Angles

• 
• Complementary Angles

• 
• Supplementary Angles

• 
• Linear Pair

• 

Supplementary angles add up to be ​ (a)   degrees, and they don't have to be next to each other.

Complementary angles add up to be ​ (b)   degrees, and they don't have to next to each other.

• 180
• 90
• 45
• 270

Vertical angles are 2 angles that are directly ​ (a)   from each other when 2 lines cross, and they are ​ always ​ (b)   .

• opposite
• congruent
• complementary
• supplementary

Corresponding angles are angles in the same ​ (a)   , like ​ (b)   , and they are only ​ (c)   if the two lines are parallel​ .

Angles 3 and 7 are corresponding angles, and so are angles 2 and ​ (d)   , and angles 1 and ​ (e)   .

• relative position
• matching corners
• congruent
• 6
• 5
• 4
• 8

Alternative Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles 3 and 6 are a pair of Alternate Interior Angle, and another pair is angles ​ 4 and ​ (d)   .

• inside
• opposite side
• congruent
• 5
• 1
• 7
• outside
• same side
• supplementary

Same-Side Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles 3 and 5 are a pair of Alternate Interior Angle, and another pair is angles ​ 4 and ​ ​ (d)   .

• inside
• same side
• supplementary
• 6
• 1
• 7
• outside

A pair of corresponding angles is congruent ...

• only when the two lines are parallel.

• always!

• only when the lines are not parallel.

• only when there is a transversal

Name the vertical angle to
∠h.

• ∠f
• ∠i
• ∠g
• ∠j

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o