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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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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……


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. degrees.

B.

C.

D.

A. Obtuse

B. Right

C. Acute

D. Straight

Identify these angles…..


Adjacent angles
Adjacent Angles…… degrees.

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

  • Example:


Non adjacent angles
Non-adjacent Angles…… degrees.

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

  • Example:


Supplementary
Supplementary degrees.

  • Two angles whose sum is 180.


Complementary
Complementary degrees.

  • Two angles whose sum is 90.


Perpendicular

If 2 segments are degrees.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 this degrees.problem...Remember that



Vertical angles

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

Vertical Angles are congruent. (Equal)

Vertical Angles……


Example

Find the value of x. degrees.

Example……


Example1

Find the degrees.

Example…..


Linear pairs
Linear Pairs degrees.

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

1

2

∠1and ∠2form a linear pair.


A linear pair is supplementary – the angle measures degrees.

add up to 180 degrees.

Find x:


Homework
Homework degrees.

  • Angle Relationships Worksheet


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