Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to measure directed angles and equivalent angles and how to find their positions in the coordinate plane.

Q1:

Find the negative value of an angle coterminal with 1 9 0 ∘ .

Q2:

Find an angle with a positive measure and an angle with a negative measure that are coterminal with an angle of 3 3 2 ∘ .

Q3:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure 2 𝜋 3 .

Q4:

Find one angle with positive measure and one angle with negative measure which are coterminal to an angle with measure 1 5 𝜋 1 7 .

Q5:

In which quadrant does the angle − 2 4 2 ∘ lie?

Q6:

In which quadrant does the angle − 1 9 2 ∘ lie?

Q7:

Which of the following angles is not equivalent to an angle measuring 2 5 ∘ in standard position?

Q8:

Given the angle − 2 3 𝜋 5 , find the principal angle.

Q9:

Find the smallest positive equivalent of 7 8 8 ∘ .

Q10:

Find the positive value of an angle coterminal with 2 5 ∘ .

Q11:

Find the positive value of an angle coterminal with − 2 5 5 ∘ .

Q12:

In which quadrant does the angle − 1 7 𝜋 3 6 lie?

Q13:

In which quadrant does the angle 5 𝜋 3 7 lie?

Q14:

In which quadrant does the angle 7 9 5 ∘ lie?

Q15:

Given the angle 2 7 3 𝜋 3 , find the principal angle.

Don’t have an account? Sign Up