Worksheet: Using Parallel Line Theorems to Find the Measures of Angles

In this worksheet, we will practice finding the measures of missing angles using parallel line theorems.

Q1:

Work out the value of 𝑥 in the figure.

Q2:

Given that 𝐴 𝐵 𝐶 𝐷 , find 𝑚 𝐸 𝐹 𝐵 .

Q3:

In the figure 𝐴 𝐵 𝐶 𝐷 . Find 𝑚 𝐸 𝐹 𝐵 .

Q4:

In the figure below, find 𝑚 𝐴 𝐵 𝐶 .

Q5:

Work out the value of 𝑥 in the figure.

Q6:

In the figure below, find 𝑚 𝐴 𝐵 𝐶 .

Q7:

Given that 𝐴 𝐵 𝐶 𝐷 , find 𝑚 𝐸 𝐹 𝐵 .

Q8:

Given that 𝐴 𝐵 𝐶 𝐷 , find 𝑚 𝐸 𝐹 𝐵 .

Q9:

Given that 𝐴 𝐵 𝐶 𝐷 , find 𝑚 𝐸 𝐹 𝐵 .

Q10:

In the figure 𝐴 𝐵 𝐶 𝐷 . Find 𝑚 𝐸 𝐹 𝐵 .

Q11:

In the figure below, find 𝑚 𝐴 𝐵 𝐶 .

Q12:

In the figure below, find 𝑚 𝐴 𝐵 𝐶 .

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