The K method of studying angles

This introduces you to studying the basics of 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
R
Q
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
R
Q
∠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
R
Q
∠SQR is a straight line and
this is equal to 180°.
∠PQS and ∠PQR when
added results in 180°. They
are called Supplementary
Angles.
The angle ∠PQS is an
Obtuse Angle as it is larger
than 90°, but this angle is
less than 180°.

7. P
S
R
Q
T
Any number of lines
can be drawn to
divide the straight
angle ∠SQR. Here
∠TQS, ∠PQT,
∠PQR when added
results in 180°.

8. P
R
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. P
R
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. P
R
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°.