# Worksheet: Intersection of Chords and Tangents in a Circle

In this worksheet, we will practice finding the measures of the resulting angles from the intersection of chords and tangents in a circle.

**Q2: **

In the given figure, . Determine .

**Q3: **

Determine .

**Q4: **

In the given figure, find .

**Q5: **

Find the value of .

**Q6: **

Given that , find .

**Q7: **

Find .

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**Q8: **

Find .

**Q9: **

Find .

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**Q10: **

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

**Q11: **

Given that , find the value of .

**Q12: **

Given that is a tangent to the circle, find .

**Q13: **

Find .

**Q14: **

The circle in the given figure has an arc with a size of .

What is the size of the central angle?

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What is the size of the inscribed angle?

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What is the size of the circumscribed angle?

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**Q15: **

Find .

**Q16: **

Find the value of .

**Q17: **

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

**Q18: **

In the given figure, find .

**Q19: **

Find .

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