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Worksheet: Finding the Measures of Angles Formed by Lines Intersecting outside a Circle

Q1:

In the given figure, . Determine .

Q2:

Find .

Q3:

Given that is the measure of the major arc , find the value of .

Q4:

Find .

Q5:

Find .

  • A
  • B
  • C
  • D

Q6:

In the figure, find the value of .

  • A
  • B
  • C
  • D

Q7:

Find .

  • A
  • B
  • C
  • D

Q8:

Given that and , find .

Q9:

Determine .

Q10:

Find the value of .

Q11:

Find the value of .

Q12:

Find the value of .

Q13:

Find .

Q14:

Given that , find .

Q15:

Given that is a tangent to the circle below, find .

Q16:

Given that, in the shown figure, and , determine the value of .

Q17:

In the given figure, find the values of and .

  • A,
  • B,
  • C,
  • D,
  • E,