Lesson Worksheet: Directed Angles Mathematics

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

Q1:

Find the smallest positive equivalent of 788∘.

Q2:

Find the smallest positive equivalent of −40∘.

Q3:

Find the measure of ∠𝜃.

Q4:

Find the measure of ∠𝜃.

Q5:

Find a positive and a negative coterminal angle for 340∘.

  • A10∘ and −690∘
  • B690∘ and 10∘
  • C20∘ and −700∘
  • D700∘ and −20∘
  • E700∘ and −700∘

Q6:

Given the angle 273𝜋3, find the principal angle.

  • A0
  • B𝜋3
  • C2𝜋
  • D4𝜋3
  • E𝜋

Q7:

Given the angle −23𝜋5, find the principal angle.

  • A5𝜋3
  • B−3𝜋5
  • C7𝜋5
  • D3𝜋5
  • E5𝜋7

Q8:

Find the first negative angle which is coterminal with 190∘.

Q9:

Find the smallest negative equivalent of 961∘.

Q10:

Find the positive value of an angle coterminal with 25∘.

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