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Angles

Learn to name and measure angles. Angles. A line extends without end in both directions. Example: Line AB The symbol for line is AB Rays , like the sun’s rays, start at one point and continues without end in one direction.

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Angles

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  1. Learn to name and measure angles. Angles

  2. A line extends without end in both directions. Example: Line AB The symbol for line is AB Rays, like the sun’s rays, start at one point and continues without end in one direction. Example: The symbol for ray is OA Lines and Rays: • A Ray is part of a line. • A Ray has one initial point and extends indefinitely in one direction.

  3. Angles: • When 2 rays have the same endpoint they form an angle. • The 2 rays are the sides of the angle and the common endpoint is the vertex. • You can use the angle symbol ( < ), the vertex, and a point on each side to name the angle. You can use the vertex alone, or a number to name the angle. • For example: <A ,<BAC ,< CAB ,< 1

  4. Angles can be measured in degrees: • An Acute Angle: has a measure of less than 90 degrees. Example: • A Right Angle: has a measure of exactly 90 degrees. Example:

  5. An obtuse Angle: has a measure greater than 90 degrees and less than 180 degrees. Example: • A Straight Angle: has a measure of exactly 180 degrees. Example:

  6. Complementary and Supplementary Angles: Complementary Angles Supplementary Angles • Two angles that add up to 180 degrees. • For example: 400 + 1400 = 1800. So, 40 and 140 are supplementary angles. • Two angles that add up to 90 degrees. • For example: 400+ 500 = 900 , So 40 and 50 are complementary angles.

  7. How to use a protractor: • You can use a protractor to measure angles. • To use the protractor, you must place the center mark of the protractor on the vertex and the 0 degrees line on one side of the angle. • Beginning with 0 degrees, follow the increasing degree numbers until you find the point where the other side of the angle meets the degree scale on the protractor.

  8. Homework:

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