GED Math : 2-Dimensional Geometry

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #1 : Opposite And Corresponding Angles

1

In the figure above, . If the measure of  and , what is the measure of ?

Possible Answers:

Correct answer:

Explanation:

1

Since we have two parallel lines, we know that  since they are opposite angle. 

We also know that  are supplementary because they are consecutive interior angles. Thus, we know that  is also supplementary to .

We can then set up the following equation to solve for .

Thus,  and .

Now, notice that  because they are corresponding angles. Thus, .

Example Question #1 : Opposite And Corresponding Angles

1

Find the value of .

Assume the two horizontal lines are parallel.

Possible Answers:

Correct answer:

Explanation:

1

Start by noticing that the two angles with the values of  and  are supplementary.

Thus, we can write the following equation and solve for .

Since  and  are vertical angles, they must also have the same value.

Thus, 

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