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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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