Worksheet: Equivalent Angles in Standard Position

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In this worksheet, we will practice finding the positive and negative measures of the directed angle.

Q1:

Find the measure of ∠ 𝜃 .

Q2:

Find the measure of ∠ 𝜃 .

Q3:

Find the smallest negative equivalent of 3 0 0 ∘ .

Q4:

Find the smallest positive equivalent of − 4 0 ∘ .

  • A 1 4 0 ∘
  • B − 3 2 0 ∘
  • C 4 0 ∘
  • D 3 2 0 ∘
  • E − 1 4 0 ∘

Q5:

Find the smallest negative equivalent of 9 6 1 ∘ .

Q6:

Find the smallest positive equivalent of − 5 0 3 ∘ .

  • A 2 9 1 ∘
  • B 7 4 ∘
  • C 2 5 4 ∘
  • D 2 1 7 ∘
  • E 1 4 8 ∘

Q7:

Which of the following angles has a positive sine and a negative secant?

  • A 2 2 3 2 4 ′ ∘
  • B 4 3 2 4 ′ ∘
  • C 3 1 6 3 6 ′ ∘
  • D 1 3 6 3 6 ′ ∘

Q8:

Is c s c ( − 2 2 5 ) ∘ positive or negative?

  • Apositive
  • Bnegative

Q9:

Find the measure of ∠ 𝜃 .

Q10:

Find the measure of ∠ 𝜃 .

Q11:

Find the smallest positive equivalent of − 8 0 6 ∘ .

  • A 1 0 2 ∘
  • B 1 8 8 ∘
  • C 8 ∘
  • D 2 7 4 ∘
  • E 1 6 ∘

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