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Lesson: Intersection of Chords and Tangents in a Circle

Sample Question Videos

Worksheet • 19 Questions • 1 Video

Q1:

Find the value of 𝑧 .

Q2:

In the given figure, π‘š 𝐢 𝐸 βˆ’ π‘š 𝐡 𝐷 = 1 0 4 ∘ . Determine π‘š ∠ 𝐴 .

Q3:

Determine π‘š 𝐢 𝐡 .

Q4:

In the given figure, find π‘š 𝐴 𝐢 + π‘š 𝐡 𝐷 .

Q5:

Find the value of π‘₯ .

Q6:

Given that π‘š ∠ 𝐴 = 3 1 ∘ , find π‘₯ .

Q7:

Find π‘₯ .

  • A 1 0 3 ∘
  • B 2 0 6 ∘
  • C 6 0 ∘
  • D 3 0 ∘
  • E 7 7 ∘

Q8:

Find π‘₯ .

Q9:

Find π‘š ∠ 𝐡 𝐴 𝐢 .

  • A 6 2 ∘
  • B 2 4 2 ∘
  • C 1 2 1 ∘
  • D 5 9 ∘
  • E 2 3 9 ∘

Q10:

Given that, in the shown figure, 𝑦 = ( π‘₯ βˆ’ 2 ) and 𝑧 = ( 2 π‘₯ + 2 ) , determine the value of π‘₯ .

Q11:

Given that π‘š ∠ 𝐢 𝐴 𝐡 = 7 6 ∘ , find the value of π‘₯ .

Q12:

Given that οƒͺ 𝐡 𝐢 is a tangent to the circle, find π‘š ∠ 𝐴 𝐡 𝐢 .

Q13:

Find π‘₯ .

Q14:

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

What is the size of the central angle?

  • A
  • B
  • C
  • D
  • E

What is the size of the inscribed angle?

  • A
  • B
  • C
  • D
  • E

What is the size of the circumscribed angle?

  • A
  • B
  • C
  • D
  • E

Q15:

Find π‘₯ .

Q16:

Find the value of π‘₯ .

Q17:

Given that, in the shown figure, 𝑦 = ( π‘₯ βˆ’ 4 ) and 𝑧 = ( 2 π‘₯ + 2 ) , determine the value of π‘₯ .

Q18:

In the given figure, find π‘š 𝐴 𝐢 + π‘š 𝐡 𝐷 .

Q19:

Find π‘₯ .

  • A 7 6 ∘
  • B 1 5 2 ∘
  • C 3 6 ∘
  • D 1 8 ∘
  • E 1 0 4 ∘
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