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In this lesson, we will learn how to find the measure of an angle that is formed by lines intersecting inside a circle.

Q1:

Given that π β π΅ π΄ πΆ = ( π₯ + 1 5 ) β , find π₯ .

Q2:

Find π β π¦ .

Q3:

Find π β π΄ π΅ πΆ .

Q4:

Given that π β πΆ π΄ π΅ = 3 9 β , and πΈ is the midpoint of π΄ πΆ , find π β π΅ πΉ πΈ .

Q5:

Find π β π΅ .

Q6:

Find the value of π§ .

Q7:

Q8:

Find π β πΆ .

Q9:

If π β π π π = 2 8 . 5 β , find π β πΆ π π .

Q10:

Given that π β πΈ π΄ π· = 5 4 β , find π β π₯ .

Q11:

In the figure, π΄ π΅ and πΆ π· are equal chords and π and π are their midpoints. Determine β π π π .

Q12:

Find π β π₯ .

Q13:

Q14:

Given that π β π΅ = 6 9 β , find π β π΄ .

Q15:

Find the value of π₯ .

Q16:

Q17:

Given that π΄ π΅ and π΄ πΆ are two equal chords in the circle π , where π β πΆ π΄ π΅ = 3 6 β and π· π΅ = 4 3 c m , find π β π· π πΈ and the length of πΈ πΆ .

Q18:

Given that π β π΅ πΆ π΄ = 4 6 β and π β π΅ π π΄ = ( π¦ + 1 0 ) β , find π¦ .

Q19:

Given that π π = π π· and π β π΅ π΄ πΆ = 5 2 β , find π β π΄ π΅ πΆ .

Q20:

Find π β π΄ πΆ π· .

Q21:

Q22:

Find π β π· π πΈ .

Q23:

Find π β π₯ in the given figure.

Q24:

In the figure, determine π β π΄ π π΅ .

Q25:

Given that π΄ π΅ is a diameter in the circle π , determine π π΄ πΆ and π π΄ π· .

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