In this worksheet, we will practice finding a missing angle measure using the relations between complementary, supplementary, or vertically opposite angles.
Q4:
Determine and in the given figure.
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Q6:
Determine .
Q7:
If and , find .
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Q8:
If the size of an angle’s supplement is 6 more than three times the size of its complement, what is the size of that angle?
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Q9:
Given the following figure, find .
Q10:
and are two intersecting straight lines. Given that and , find .
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Q11:
If and form a linear pair, where and , determine and .
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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 .
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Q13:
The rays and are perpendicular. A point lies in the interior of . Given that and , find and .
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Q14:
In the given diagram, is a straight line, , and .
Form an equation that will allow you to calculate .
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Solve for .
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Q15:
Given that and , find .
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Q16:
In the given diagram, and are straight lines. Answer the following questions.
Form an equation that will allow you to calculate .
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Find the value of .
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Q17:
Using the fact that the lines in the figure intersect, find the values of and .
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Q18:
If and are supplementary, and the size of is more than the size of , find the size of each angle.
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Q19:
Find and .
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