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Lesson Worksheet: Angles of Intersecting Lines in a Circle Mathematics

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

Q1:

Find 𝑥.

Q2:

In the given figure, find 𝑚𝐴𝐶+𝑚𝐵𝐷.

Q3:

Find 𝑥.

Q4:

Find 𝑥.

Q5:

Determine 𝑚𝐶𝐵.

Q6:

Find 𝑥.

Q7:

Given that, in the shown figure, 𝑦=(𝑥2) and 𝑧=(2𝑥+2), determine the value of 𝑥.

Q8:

In the given figure, find the values of 𝑥 and 𝑦.

  • A𝑥=60, 𝑦=240
  • B𝑥=120, 𝑦=240
  • C𝑥=240, 𝑦=120
  • D𝑥=240, 𝑦=60
  • E𝑥=140, 𝑦=220

Q9:

Find 𝑚𝐴𝐵𝐶.

Q10:

Find 𝑥.

This lesson includes 27 additional questions and 297 additional question variations for subscribers.

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