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In this lesson, we will learn how to use the parallelism of lines to find a missing angle depending on its relationship with another angle.

Q1:

Find π₯ .

Q2:

In the figure, what is π β π· πΉ π ?

Q3:

Answer the questions for the given figure.

Find the value of π₯ .

Find the value of π¦ .

Q4:

Find π β πΈ πΆ π· .

Q5:

In the following figure, and . Find and .

Q6:

Find π β π΄ πΆ π· .

Q7:

Q8:

Find π β πΆ π΅ π΄ .

Q9:

Find π β πΈ π· πΆ .

Q10:

Given that ο« π΄ π΅ β«½ ο« πΆ π· and ο« π΄ π΅ β«½ οͺ πΈ πΉ , find π β π΄ πΆ πΈ .

Q11:

Find .

Q12:

Find the value of π§ .

Q13:

Given that πΉ πΈ β«½ π΄ π· and π β πΉ π΅ π΄ = 1 1 6 β , find the measure of β πΈ πΉ πΊ .

Q14:

In the given figure, and are parallel.

Work out the size of angle .

Are triangles and similar? If yes, why?

Q15:

The figure shows three parallel lines.

Q16:

The given figure shows a pair of parallel lines and two transversals, one of which crosses at right angles.

Write an expression for π in terms of π .

Using this expression for π , find a fully simplified expression for π in terms of π .

Q17:

Given that π΄ π΅ is parallel to πΈ πΆ , find the values of π₯ and π¦ .

Q18:

Which of the following is sufficient to ensure that lines πΏ ο§ and πΏ ο¨ are parallel?

Q19:

Q20:

Determine π β π΅ π΄ πΆ .

Q21:

Q22:

Find π β π· .

Q23:

In the figure below, given that π β π΄ πΆ πΈ = 1 3 1 β , find π β πΆ πΈ πΉ .

Q24:

In the figure below, given that π β π΄ πΆ πΈ = 9 7 β , find π β πΆ πΈ πΉ .

Q25:

Given that β ο© ο© ο© ο© β π΄ π΅ β«½ β ο© ο© ο© ο© β πΆ π· and π β πΈ πΊ π΄ = 5 9 β , find π β π· π» πΉ .

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