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Angles
An angle is formed when two rays share a common endpoint called the vertex. Angles are measured in degrees using a protractor. To measure an angle, the protractor is placed with the vertex at the midpoint and one ray aligned with 0 degrees. The degree measurement of the other ray is the angle measure. Angles can be acute (<90 degrees), right (90 degrees), or obtuse (>90 degrees but <180 degrees). Complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees.
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Angles
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- 2. Angle ● It isformed when two rays are connected at a common endpoint. ● Vertex - common endpoint of two rays of an angle ● Rays - sides of an angle ● The angle is the space between these two rays. 01 02 03 04 05 Index
- 3. Angle ● This anglecan be named using the ray-vertex-ray format. ● For example, the angle can be named as ∠CBA or ∠ABC. ● It can also be named using its vertex, ∠B. 01 02 03 04 05 Index
- 4. Measuring an AngleUsing a Protractor ● A protractor is an instrument used to measure angles. ● The numbers that you see on the protractor are used to measure an angle. ● The unit measurement of angles is degrees (°). 01 02 03 04 05 Index
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- 6. Here are thesteps in measuring an angle. 1. Look at the midpoint in the protractor. Place the midpoint in the vertex of the angle to be measured. 2. Adjust the protractor such that the number 0 overlaps one of the sides of the angle. 3. Locate at what measurement the other segment lies. This is the measurement of the angle. 01 02 03 04 05 Index
- 7. What is themeasurement of the following angles? 01 02 03 04 05 Index 35°
- 8. What is themeasurement of the following angles? 01 02 03 04 05 Index 60°
- 9. What is themeasurement of the following angles? 01 02 03 04 05 Index 90°
- 10. What is themeasurement of the following angles? 01 02 03 04 05 Index 122°
- 11. What is themeasurement of the following angles? 01 02 03 04 05 Index 180°
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- 13. Acute Angle ● Itis an angle that measures less than 90°. 01 02 03 04 05 Index
- 14. Right Angle ● Itis an angle that measures exactly 90°. It forms an L-shaped figure. 01 02 03 04 05 Index
- 15. Obtuse Angle ● Itis an angle that measures more than 90° but less than 180°. 01 02 03 04 05 Index
- 17. What kind ofangle is this? 01 02 03 04 05 Index
- 18. What kind ofangle is this? 01 02 03 04 05 Index
- 19. What kind ofangle is this? 01 02 03 04 05 Index
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- 22. A pair ofangles may be classified as complementary or supplementary. 01 02 03 04 05 Index
- 23. Complementary Angles ● Apair of angles that have a total measurement of 90°. ● Placing the pair of angles side by side will form a right angle. 01 02 03 04 05 Index
- 24. Supplementary Angles ● Apair of angles that have a total measurement of 180°. ● When the angles are placed side by side, a straight line is formed. 01 02 03 04 05 Index