Angle Relationships.

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Presentation transcript:

Angle Relationships

90 and 180 degree angles…… 90 degree angle: 180 degree angle:

Types of angles…… Acute – angles less than 90 degrees. Right – angles with exactly 90 degrees.

Obtuse – angles greater than 90 degrees but less than 180 degrees. Straight – angles that are 180 degrees and form a line.

Identify these angles….. B. C. D. A. Obtuse B. Right C. Acute D. Straight

Adjacent Angles…… Two angles that share a common side are adjacent angles. Example:

Non-adjacent Angles…… 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.

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:

Let’s finish this problem...Remember that

Find x, given that

Vertical Angles…… Vertical Angles are two non-adjacent angles formed by intersecting lines. Vertical Angles are congruent. (Equal)

Example…… Find the value of x.

Example….. Find the

Linear Pairs Linear Pair – a pair of adjacent angles whose non-common sides form opposite rays. 1 2 ∠1 and ∠2 form a linear pair.

A linear pair is supplementary – the angle measures add up to 180 degrees. Find x:

Homework Angle Relationships Worksheet