3. Draw angles to reprewent ,
   , and :

1. Drawing

• Vertex: B
• Arms: BA and BC

1. Plot Point B (Vertex):
   • Choose a spot on your paper to represent point B.
2. Draw Ray BA:
   • From point B, draw a straight line extending in one direction.
   • Mark a point A somewhere along this line.
3. Draw Ray BC:
   • From point B, draw another straight line extending in a different direction from ray BA.
   • Mark a point C somewhere along this line.
4. Label the Angle:
   • The angle between rays BA and BC at vertex B is .

A
 \
  \
   B
  /
 /
C

2. Drawing

• Vertex: Q
• Arms: QP and QR

1. Plot Point Q (Vertex):
   • Choose a spot on your paper to represent point Q.
2. Draw Ray QP:
   • From point Q, draw a straight line extending in one direction.
   • Mark a point P somewhere along this line.
3. Draw Ray QR:
   • From point Q, draw another straight line extending in a different direction from ray QP.
   • Mark a point R somewhere along this line.
4. Label the Angle:
   • The angle between rays QP and QR at vertex Q is .

P
 \
  \
   Q
  /
 /
R

3. Drawing

• Vertex: Y
• Arms: YX and YZ

1. Plot Point Y (Vertex):
   • Choose a spot on your paper to represent point Y.
2. Draw Ray YX:
   • From point Y, draw a straight line extending in one direction.
   • Mark a point X somewhere along this line.
3. Draw Ray YZ:
   • From point Y, draw another straight line extending in a different direction from ray YX.
   • Mark a point Z somewhere along this line.
4. Label the Angle:
   • The angle between rays YX and YZ at vertex Y is .

X
 \
  \
   Y
  /
 /
Z

4. Drawing

• Vertex: F
• Arms: FE and FG

1. Plot Point F (Vertex):
   • Choose a spot on your paper to represent point F.
2. Draw Ray FE:
   • From point F, draw a straight line extending in one direction.
   • Mark a point E somewhere along this line.
3. Draw Ray FG:
   • From point F, draw another straight line extending in a different direction from ray FE.
   • Mark a point G somewhere along this line.
4. Label the Angle:
   • The angle between rays FE and FG at vertex F is .

E
 \
  \
   F
  /
 /
G

Tips for Accurate Drawing:

• Use a Protractor: To measure specific angle sizes accurately.
• Straightedge/Ruler: Ensures your rays are straight and precise.
• Consistent Labeling: Clearly label each point to avoid confusion.
• Practice: The more you practice drawing angles, the more accurate and efficient you’ll become.

Digital Drawing (Optional): Using LaTeX and TikZ

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
  % Draw rays
  \draw[thick] (0,0) -- (3,2) node[above right] {A};
  \draw[thick] (0,0) -- (3,-1) node[below right] {C};
  % Draw vertex label
  \node at (0,0) [below left] {B};
  % Mark the angle
  \draw (1,0) arc (0:150:1);
  \node at (0.5,0.3) {$\alpha$};
\end{tikzpicture}
\end{document}

• Points:
  • B: Origin (0,0)
  • A: (3,2)
  • C: (3,-1)
• Rays: Drawn from B to A and B to C.
• Angle Marking: An arc is drawn to represent the angle at B.