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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : Supplementary Angles

If an angle given is $\frac{2}{3}\pi$ radians, what is the other angle if both angles are supplementary?

Possible Answers:

$\frac{2}{3}\pi$

$2\pi$

$\frac{4}{3}\pi$

$\frac{1}{3}\pi$

$\frac{5}{3}\pi$

Correct answer:

$\frac{1}{3}\pi$

Explanation:

Note that supplementary angles sum up to 180 degrees or equal to $\pi$ radians.

Subtract the known angle from pi.

$\pi-\frac{2}{3}\pi = \frac{1}{3}\pi$

The answer is: $\frac{1}{3}\pi$

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Example Question #61 : Angle Geometry

Which angle must be supplementary to the angle 35.6 ?

Possible Answers:

53.6

54.4

215.6

144.4

125.6

Correct answer:

144.4

Explanation:

Supplementary angles add up to 180 degrees.

Subtract 35.6 from 180 degrees. Do not add this value with 180!

180-35.6 = 144.4

The answer is: 144.4

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Example Question #61 : Angle Geometry

Comp1

The angles above are supplementary.

What is the angle measure of the smaller angle above?

Possible Answers:

$80^\circ$

$60^\circ$

$120^\circ$

$40^\circ$

$100^\circ$

Correct answer:

$80^\circ$

Explanation:

Since the two angles are supplementary, you know that they must add up to 180 degrees. Therefore, you can take their values and create the following simple equation:

x+60+2x=180

Next, solve for :

3x+60=180

3x=120

x=40

Now, be careful! Substitute back in to find your angle measures:

40+60=100

2*40=80

Your smaller measure is degrees.

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Example Question #62 : Angle Geometry

Comp2

The angles above are supplementary.

What is the smaller of the two angle measures?

Possible Answers:

$2^\circ$

$30^\circ$

$50^\circ$

$140^\circ$

$130^\circ$

Correct answer:

$50^\circ$

Explanation:

Since the two angles are supplementary, you know that they must add up to 180 degrees. Therefore, you can take their values and create the following simple equation:

45x+40+15x+20=180

Simplify to find :

60x+60=180

60x=120

x=2

Then, put back in to find the smaller measure:

45*2+40=90+40=130

15*2+20=30+20=50

Thus, the smaller angle is degrees.

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Example Question #63 : Angle Geometry

Comp3

The angles above are supplementary.

What is the sum of the two smaller angles in those above?

Possible Answers:

$30^\circ$

$50^\circ$

$80^\circ$

$100^\circ$

$180^\circ$

Correct answer:

$80^\circ$

Explanation:

To begin, note that the angles are supplementary. This means that they must add up to 180 degrees. Based on your data, this means:

30+2x+x=180

Simplifying, you get:

30+3x=180

3x=150

x=50

Since is degrees, you know that your three angles are:

30,50,100

Therefore, the sum of your two smallest angles is 30+50=80 degrees.

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Example Question #11 : Supplementary Angles

There are three angles that, altogether, are supplementary. The second angle is 10 degrees larger than the first, while the third is 10 larger than the second. What is the size of the middle-sized angle?

Possible Answers:

$50^\circ$

$60^\circ$

$80^\circ$

$75^\circ$

Cannot be computed from the information provided

Correct answer:

$60^\circ$

Explanation:

Since all three angles are supplementary, you know that they must add up to 180 degrees. However, you need to manage some of the other details. Imagine that the first one is degrees. The second must be d+10 degrees. This means that the third is (d+10)+10 or d+20 degrees. Therefore, you could draw the following:

Comp4

Based on this data, you know:

d+d+10+d+20=180

Simplifying, you get:

3d+30=180

3d=150

d=50

The middle angle is d+10 or 50+10=60 degrees

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Example Question #502 : 2 Dimensional Geometry

Angles x and y are supplementary. If $y = 45$^{\circ}$$ , what is the value of x?

Possible Answers:

$45$^{\circ}$$

$65$^{\circ}$$

$180$^{\circ}$$

$315$^{\circ}$$

$135$^{\circ}$$

Correct answer:

$135$^{\circ}$$

Explanation:

Two angles are supplementary if they add up to $180$^{\circ}$$ . So, to find supplementary angles, we will use the following formula:

$\text{angle } x + \text{ angle } y = 180$^{\circ}$$

Now, we know $y= 45$^{\circ}$$ . So, we can substitute and solve for x. We get

$x + 45$^{\circ}$ = 180$^{\circ}$$

$x + 45$^{\circ}$ - 45$^{\circ}$ = 180$^{\circ}$ - 45$^{\circ}$$

$x+ 0$^{\circ}$ = 135$^{\circ}$$

$x = 135$^{\circ}$$

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Example Question #12 : Supplementary Angles

Suppose a pair of angles are supplementary. What is the other angle if one angle is 180x-90 ?

Possible Answers:

270-180x

180x-270

90-180x

180x-90

-180x-90

Correct answer:

270-180x

Explanation:

Supplementary angles add up to 180 degrees.

To find the other angle, we will need to subtract the given angle from 180.

180-(180x-90) = 180-180x+90

Combine like-terms.

The answer is: 270-180x

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Example Question #504 : 2 Dimensional Geometry

Angles x and y are supplementary. If $y=45^{\circ}$ , find x.

Possible Answers:

$x=110^{\circ}$

$x=135^{\circ}$

$x=25^{\circ}$

$x=45^{\circ}$

$x=315^{\circ}$

Correct answer:

$x=135^{\circ}$

Explanation:

Two angles are supplementary if they add up to $180^{\circ}$ . So, we use the following formula:

$x+y=180^{\circ}$

Now, we know $y=45^{\circ}$ So, we will substitute and solve for x. We get

$x+45^{\circ}=180^{\circ}$

$x+45^{\circ}-45^{\circ}=180^{\circ}-45^{\circ}$

$x+0^{\circ}=135^{\circ}$

$x=135^{\circ}$

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Example Question #505 : 2 Dimensional Geometry

If two angles are supplementary, where one given angle measurement is 90x +30 degrees, and the other angle is 10x+20 degrees,what must be the value of ?

Possible Answers:

$\textup{Cannot be determined.}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{13}{10}$

$\frac{13}{20}$

Correct answer:

$\frac{13}{10}$

Explanation:

Set up an equation such that both angles will add up to 180 degrees, since these are supplementary angles.

90x+30+10x+20 = 180

Combine like-terms.

100x+50 = 180

Subtract fifty from both sides.

100x+50 -50= 180-50

100x=130

Divide by 100 on both sides.

$\frac{100x}{100}=\frac{130}{100}$

The answer is: $\frac{13}{10}$

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #4 : Supplementary Angles

Example Question #61 : Angle Geometry

Example Question #61 : Angle Geometry

Example Question #62 : Angle Geometry

Example Question #63 : Angle Geometry

Example Question #11 : Supplementary Angles

Example Question #502 : 2 Dimensional Geometry

Example Question #12 : Supplementary Angles

Example Question #504 : 2 Dimensional Geometry

Example Question #505 : 2 Dimensional Geometry

All GED Math Resources

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