# Worksheet: Directed Angles

In this worksheet, we will practice identifying and measuring directed angles and finding their equivalent angles.

Q1:

Find the first negative angle which is coterminal with .

Q2:

Find an angle with a positive measure and an angle with a negative measure that are coterminal with an angle of .

• A,
• B,
• C,
• D,
• E,

Q3:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure .

• A,
• B,
• C,
• D,
• E,

Q4:

Given the angle , find the principal angle.

• A0
• B
• C
• D
• E

Q5:

Given the angle , find the principal angle.

• A
• B
• C
• D
• E

Q6:

Find the smallest positive equivalent of .

Q7:

Find the positive value of an angle coterminal with .

Q8:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure .

• A,
• B,
• C,
• D,
• E,

Q9:

Find the positive value of an angle coterminal with .

Q10:

Find the measure of . Q11:

Find the smallest negative equivalent of .

Q12:

Find the smallest positive equivalent of .

Q13:

Find the smallest negative equivalent of .

Q14:

Find the smallest positive equivalent of .