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# Angles

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### Angles

1. 1. Presentation on ANGLES<br />BY<br />ADITI JAIN<br /> KUJA<br />VI-D<br />
2. 2. CONTENTS<br />WHAT IS AN ANGLE?<br />NAMING AN ANGLE<br />TYPES OF ANGLES<br />PAIRS OF ANLGES<br />
3. 3. WHAT IS AN ANGLE???<br />When two non-collinear rays join from a common end point (origin) an angle is formed.<br />Ray BA<br />A<br />Common endpoint B<br />B<br />B<br />C<br />Common endpoint is called the VERTEX OF ANGLE .B is the vertex of angle <br />ABC<br />AB and BC are the two non collinear rays.<br />Ray AB and BC are called the ARMS of the angle.<br />
4. 4. NAMING AN ANGLE<br />To name an angle ,we name any point on one ray, then the vertex ,and then any point on the other ray.<br />A<br />C<br />B<br />ABC<br />OR <br />CBA<br />FOR EXAMPLE : <br />We may also name this angle only by the single letter of the vertex, fr example <br />B .<br />
5. 5. TYPES OF ANGLES<br />ACUTE ANGLE<br />OBTUSE ANGLE<br />RIGHT ANGLE<br />STRAIGHT ANGLE<br />REFLEX ANGLE<br />ZERO ANGLE<br />
6. 6. ACUTE ANGLE<br />An acute angle is an angle measuring<br /> between 0 and 90 degrees. <br />Example:<br />
7. 7. OBTUSE ANGLE<br />An obtuse angle is an angle measuring<br /> between 90 and 180 degrees. <br /> Example:<br />
8. 8. RIGHT ANGLES<br />A right angle is an angle measuring 90<br /> Degrees.<br /> Example:<br />
9. 9. ZERO ANGLE <br />An angle measuring 0 is called a zero angle .<br /> Example:<br />C<br />A<br />B<br />Rays AB and AC are said to be at zero angle with each other.<br />
10. 10. REFLEX ANGLE <br />An angle whose measure is more than 180( deg) but less than 360(deg) is called a reflex angle.<br /> Example:<br />o<br />A<br />AOB<br />Angle <br />Is called as the REFLEX ANGLE<br />B<br />
11. 11. STRAIGHT ANGLE<br />An angle whose measure is 180(deg) is called as a straight angle.<br /> Example:<br />A<br />B<br />C<br /> AOB is called as STRAIGHT ANGLE .<br />
12. 12. PAIRS OF ANGLES<br />COMPLEMENTARY PAIRS<br />SUPPLEMENTARY PAIRS<br />ADJACENT ANGLES<br />VERTICALLY OPPOSITE ANGLES<br />LINEAR PAIR<br />
13. 13. COMPLEMENTARY ANGLES<br />Two angles whose sum is 90(deg) are<br /> called as complementary angles.<br />Here AOB = 40 and BOC = 50<br />B<br />C<br />50<br /> AOB + BOC = 90<br />40<br />O<br />A<br />The two angles are said to be complementary to each other.<br />
14. 14. SUPPLEMENTARY ANGLES<br />Two angles whose sum is 180(deg) are<br /> called as supplementary angles.<br />R<br />Here PQR= 50 and RQS = 130<br />130<br />50<br /> PQR + RQS = 180<br />Hence the two angles are said to be supplementary to each other.<br />s<br />p<br />Q<br />
15. 15. ADJACENT ANGLES <br />Two non overlapping angles are said to be adjacent angles if they have a common vertex , a common arm, and other two arms lying on opposite sides of this common arm, so that their interiors do not overlap.<br />B<br />C<br />AOB and BOC are the adjacent angles.<br />O<br />
16. 16. VERTICALLY OPPOSITE ANGLES<br />Two angles formed by two intersecting<br /> lines having no common arm are called<br /> vertically opposite angles.<br />A<br />D<br />O<br />Angles AOD and COB vertically opposite<br />Similarly angles AOC and DOB are vertically opposite angles<br />B<br />C<br />
17. 17. LINEAR PAIR<br />Two adjacent angles are said to form a<br /> Linear pair if their sum is 180.<br />A<br />Sum of angle AOB and angle AOC is 180. hence they are called as LINEAR PAIR<br />B<br />C<br />
18. 18. END <br />