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Angles

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Angles

- An angle is formed by two rays that share a common endpoint. The sides of an angle are the two rays. The vertex of an angle is the common endpoint of the two rays.

- You can name the angle by the vertex IF, there is only one angle.
- GOODBad
- BNot Possible

- When using three letters to name an angle:
- The letter in the center is ALWAYS the Vertex.
- The letters on either side are from each side of the angle.
- ZGR Or RGZ

- If the Vertex is numbered, you can use the Number to name the Angle.
- 3

- A protractor is a basic tool used to measure angles. One unit of measure for angles is degrees (º).

- When writing the Measure of an Angle we use m(angle) = degrees
- mDKX = 30 degrees

- Acute
- Right
- Obtuse
- Straight or Linear

- Angles whose Measure is greater than Zero degrees but less than ninety degrees

- Right Angles have a measurement of ninety degrees.
- ***Warning*** there ARE NO LEFT angles!!!
- The word Right comes from the latinRect, NOT Your hand.

- Obtuse angles are greater than ninety degrees but less than one-hundred eighty degrees.

- Straight angles, linear angles have a measure of one-hundred eighty degrees.

- Supplementary Angles
- Complementary Angles
- Perpendicular Relationships
- Adjacent Angles
- Linear Pair
- Vertical Angles

- Two angles are supplementary angles if the sum of their angle measures is equal to 180º.

- Two angles are complementary angles if the sum of their angle measures is equal to 90º.

- Two lines, line segments, or rays are perpendicular if they intersect to form 90º angles. The perpendicular symbol is .

- Adjacent angles are two angles that share a common vertex and share a common side.

- A linear pair of angles are two adjacent angles that have noncommon sides that form a line.

- Vertical angles are two nonadjacent angles that are formed by two intersecting lines.