Angle relationships
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Angle Relationships. 90 degree angle:. 180 degree angle:. 90 and 180 degree angles……. Acute – angles less than 90 degrees. Right – angles with exactly 90 degrees. Types of angles……. Obtuse – angles greater than 90 degrees but less than 180 degrees.

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Angle Relationships

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Angle relationships

Angle Relationships


90 and 180 degree angles

90 degree angle:

180 degree angle:

90 and 180 degree angles……


Types of angles

Acute – angles less than 90 degrees.

Right – angles with exactly 90 degrees.

Types of angles……


Angle relationships

Obtuse – angles greater than 90 degrees but less than 180 degrees.

Straight – angles that are 180 degrees and form a line.


Identify these angles

A.

B.

C.

D.

A. Obtuse

B. Right

C. Acute

D. Straight

Identify these angles…..


Adjacent angles

Adjacent Angles……

  • Two angles that share a common side are adjacent angles.

  • Example:


Non adjacent angles

Non-adjacent Angles……

  • Angles that do not share a common side are non-adjacent angles.

  • Example:


Supplementary

Supplementary

  • Two angles whose sum is 180.


Complementary

Complementary

  • Two angles whose sum is 90.


Perpendicular

If 2 segments are perpendicular to each other, then they form a 90 degree angle.

The symbol for perpendicular is an upside down T.

Example:

Perpendicular


Let s finish this problem remember that

Let’s finish thisproblem...Remember that


Find x given that

Find x, given that


Vertical angles

Vertical Angles are two non-adjacent angles formed by intersecting lines.

Vertical Angles are congruent. (Equal)

Vertical Angles……


Example

Find the value of x.

Example……


Example1

Find the

Example…..


Linear pairs

Linear Pairs

Linear Pair – a pair of adjacent angles whose non-common sides form opposite rays.

1

2

∠1and ∠2form a linear pair.


Angle relationships

A linear pair is supplementary – the angle measures

add up to 180 degrees.

Find x:


Homework

Homework

  • Angle Relationships Worksheet


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