Question

3-5 draw and label each angle

1. ∠tan
2. ∠big
3. ∠sml

Explanation:

For ∠TAN (Problem 3)

Step1: Draw a vertex

Draw a point and label it as \( A \) (this is the vertex of the angle, as the middle letter in \( \angle TAN \) is \( A \)).

Step2: Draw two rays

• Draw one ray starting from \( A \) and label the endpoint of this ray (other than \( A \)) as \( T \).
• Draw another ray starting from \( A \) (in a different direction than the ray \( AT \)) and label the endpoint of this ray (other than \( A \)) as \( N \).

Step3: Label the angle

Mark the angle between the two rays \( AT \) and \( AN \) and label it as \( \angle TAN \).

For ∠BIG (Problem 4)

Step1: Draw a vertex

Draw a point and label it as \( I \) (since \( I \) is the middle letter in \( \angle BIG \), it is the vertex).

Step2: Draw two rays

• Draw one ray starting from \( I \) and label the endpoint of this ray (other than \( I \)) as \( B \).
• Draw another ray starting from \( I \) (in a different direction than the ray \( IB \)) and label the endpoint of this ray (other than \( I \)) as \( G \).

Step3: Label the angle

Mark the angle between the two rays \( IB \) and \( IG \) and label it as \( \angle BIG \).

For ∠SML (Problem 5)

Step1: Draw a vertex

Draw a point and label it as \( M \) (as \( M \) is the middle letter in \( \angle SML \), it is the vertex).

Step2: Draw two rays

• Draw one ray starting from \( M \) and label the endpoint of this ray (other than \( M \)) as \( S \).
• Draw another ray starting from \( M \) (in a different direction than the ray \( MS \)) and label the endpoint of this ray (other than \( M \)) as \( L \).

Step3: Label the angle

Mark the angle between the two rays \( MS \) and \( ML \) and label it as \( \angle SML \).

Answer:

• For \( \angle TAN \): Drawn with vertex \( A \), rays \( AT \) and \( AN \), and labeled \( \angle TAN \).
• For \( \angle BIG \): Drawn with vertex \( I \), rays \( IB \) and \( IG \), and labeled \( \angle BIG \).
• For \( \angle SML \): Drawn with vertex \( M \), rays \( MS \) and \( ML \), and labeled \( \angle SML \).

(Note: Since this is a drawing task, the above steps describe how to create each angle. The actual drawing would involve using a straightedge to draw the rays from the vertex and labeling the points appropriately.)