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In this lesson, we will learn how to find a missing angle measure using the relations between complementary, supplementary, or vertically opposite angles.

Q1:

What is the measure of β π πΉ π ?

Q2:

Find π β πΆ .

Q3:

Find π β π΄ π π΅ , π β π΄ π πΈ , and π β π· π πΈ .

Q4:

Determine π β 6 and π β 7 in the given figure.

Q5:

Find π β π π΄ πΆ .

Q6:

Determine π β π· π πΆ .

Q7:

If and , find .

Q8:

If the size of an angleβs supplement is 6 more than three times the size of its complement, what is the size of that angle?

Q9:

Given the following figure, find π β π΅ π π΄ .

Q10:

and are two intersecting straight lines. Given that and , find .

Q11:

If and form a linear pair, where and , determine and .

Q12:

These two angles are supplementary. Write and solve an equation to find .

Recall that two angles are supplementary if the sum of their sizes is .

Q13:

The rays and are perpendicular. A point lies in the interior of . Given that and , find and .

Q14:

In the given diagram, π΄ π· is a straight line, π β π΄ π΅ πΆ = ( 4 π₯ + 1 2 ) β , and π β π· π΅ πΆ = 1 2 8 β .

Form an equation that will allow you to calculate π₯ .

Solve for π₯ .

Q15:

Given that and , find .

Q16:

In the given diagram, π΄ π΅ and πΆ π· are straight lines. Answer the following questions.

Find the value of π₯ .

Q17:

Using the fact that the lines in the figure intersect, find the values of π₯ and π¦ .

Q18:

If and are supplementary, and the size of is more than the size of , find the size of each angle.

Q19:

Find π€ and π§ .

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