The k method of studying angles
- 1. The K Method Of Studying Angles Authored By Adithya Ligory
- 2. The K Method of Studying Angles The letter K has all the possible angles that you need to know as a student!
- 3. Angle 1 Angle 2 Angle 3 Angle 1, Angle 2 and Angle 3: Less than 90°(90 degrees) - They are called Acute Angles.
- 4. P Q R S RQ P Angles ∠PQR when divided by a line SQ results in two angles side by side called Adjacent Angles (∠PQS and ∠SQR)
- 5. P S RQ ∠SQR is 90° (90 degrees) or it’s called a Right Angle. ∠PQS and ∠PQR when added results in 90°. They are called Complementary Angles.
- 6. P S RQ ∠SQR is a straight line and this is equal to 180°. ∠PQS and ∠PQR when added results in 180°. They are called Supplementary Angles.
- 7. P S RQ T Any number of lines can be drawn to divide the straight angle ∠SQR. Here ∠TQS, ∠PQT, ∠PQR when added results in 180°.
- 8. PR S T Q U V 1 2 3 4 5 6 The original letter K is shown as dotted lines. Extending the line PQ to S and RQ to T, intersecting lines form. ∠RQP and ∠SQT are equal. ∠RQS and ∠PQT are equal. These angles are called Vertically Opposite Angles.
- 9. PR S T Equal vertical angles in terms of angle size. ∠PQR and ∠SQT are equal and are equal to 96° (96 degrees) ∠RQS and ∠PQT are equal to 84° (84 degrees) Q
- 10. PR S T QU V An angle that is 360° is called a Circular Angle. All angles shown here add up to 360°. ∠RQU, ∠UQS, ∠SQT, ∠VQT, ∠PQV and ∠PQR when added together results in 360°.