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In this lesson, we will learn how to find the measures of the resulting angles from the intersection of chords and tangents in a circle.

Q1:

Find the value of π§ .

Q2:

In the given figure, π πΆ πΈ β π π΅ π· = 1 0 4 β . Determine π β π΄ .

Q3:

Determine π πΆ π΅ .

Q4:

In the given figure, find π π΄ πΆ + π π΅ π· .

Q5:

Find the value of π₯ .

Q6:

Given that π β π΄ = 3 1 β , find π₯ .

Q7:

Find π₯ .

Q8:

Q9:

Find π β π΅ π΄ πΆ .

Q10:

Given that, in the shown figure, π¦ = ( π₯ β 2 ) and π§ = ( 2 π₯ + 2 ) , determine the value of π₯ .

Q11:

Given that π β πΆ π΄ π΅ = 7 6 β , find the value of π₯ .

Q12:

Given that οͺ π΅ πΆ is a tangent to the circle, find π β π΄ π΅ πΆ .

Q13:

Q14:

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

What is the size of the central angle?

What is the size of the inscribed angle?

What is the size of the circumscribed angle?

Q15:

Q16:

Q17:

Given that, in the shown figure, π¦ = ( π₯ β 4 ) and π§ = ( 2 π₯ + 2 ) , determine the value of π₯ .

Q18:

Q19:

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