# Angle Relationships - PowerPoint PPT Presentation

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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

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.

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

A.

B.

C.

D.

A. Obtuse

B. Right

C. Acute

D. Straight

### Identify these angles…..

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

• Example:

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

• Example:

### Supplementary

• Two angles whose sum is 180.

### Complementary

• Two angles whose sum is 90.

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:

### Find x, given that

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

Vertical Angles are congruent. (Equal)

### Vertical Angles……

Find the value of x.

Find the

### Linear Pairs

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