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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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

Example Questions

Example Question #23 : Angle Geometry

Two angles are complementary. If the first angle is $28^{\circ}$ , what is the value of the second angle?

Possible Answers:

$62^{\circ}$

$17^{\circ}$

$152^{\circ}$

$332^{\circ}$

$197^{\circ}$

Correct answer:

$62^{\circ}$

Explanation:

Two angles are complementary if they add up to $90^{\circ}$ . So, we can write it as the formula:

$a + b = 90^{\circ}$

Now, we know one angle is $28^{\circ}$ . So, we can substitute and solve for the other angle. So, we get

$a + 28^{\circ} =90^{\circ}$

$a+28^{\circ} - 28^{\circ} = 90^{\circ} - 28^{\circ}$

$a+0^{\circ} = 62^{\circ}$

$a=62^{\circ}$

Therefore, the other angle is $62^{\circ}$ .

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Example Question #1421 : Ged Math

What angle is complementary to 80 degrees?

Possible Answers:

160

170

100

Correct answer:

Explanation:

Complementary angles must add up to 90 degrees.

To find the other angle, we must subtract 80 from 90 degrees.

90-80 = 10

The answer is:

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Example Question #26 : Complementary Angles

Suppose two angles are complementary. If one angle measurement is $\frac{1}{8}\pi$ radians, what must be the other angle?

Possible Answers:

$\frac{3}{8}\pi$

$\frac{1}{8}\pi$

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

$\frac{4}{8}\pi$

$\frac{5}{8}\pi$

Correct answer:

$\frac{3}{8}\pi$

Explanation:

Complementary angles sum up to 90 degrees, or $\frac{\pi}{2}$ radians.

Subtract $\frac{1}{8}\pi$ radians from $\frac{\pi}{2}$ radians.

$\frac{\pi}{2}-\frac{\pi}{8} = \frac{4\pi}{8}-\frac{\pi}{8} = \frac{3}{8}\pi$

The answer is: $\frac{3}{8}\pi$

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Example Question #1422 : Ged Math

Suppose two angles are complementary. If one angle measurement is 52 degrees, what is the other angle?

Possible Answers:

148

120

138

Correct answer:

Explanation:

Complementary angles sum up to 90 degrees.

Subtract the known angle from 90.

90-52 = 38

The answer is:

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Example Question #1423 : Ged Math

Suppose two angles are complementary. What is the value of the other angle if a known angle is 43 degrees?

Possible Answers:

157

137

Correct answer:

Explanation:

Complementary angles must add up to 90 degrees.

Subtract the known angle from 90.

90-43 = 47

The answer is:

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Example Question #31 : Complementary Angles

Use the following angles to answer the question:

Angle2

If these two angles are complementary, find the value of x.

Possible Answers:

$x=27^{\circ}$

$x=107^{\circ}$

$x=17^{\circ}$

$x = 287^{\circ}$

$x=152^{\circ}$

Correct answer:

$x=17^{\circ}$

Explanation:

Two angles are complementary if they add up to $90^{\circ}$ . So, we can use the formula

$x+y = 90^{\circ}$

where x and y are the angles.

So, given the angles

Angle2

we can see one angle is $73^{\circ}$ . So, we can substitute and solve for x. We get

$x + 73^{\circ}=90^{\circ}$

$x+73^{\circ}-73^{\circ}=90^{\circ}-73^{\circ}$

$x+0^{\circ}=17^{\circ}$

$x=17^{\circ}$

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Example Question #31 : Angle Geometry

If angle measure is degrees, what is the other angle if both angles are complementary?

Possible Answers:

181

171

Correct answer:

Explanation:

Complementary angles add up to 90 degrees.

To determine the other angle, subtract 81 from 90.

90-81=9

The answer is:

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Example Question #1426 : Ged Math

If two angles are complementary, and one angle is $75^{\circ}$ , what is the value of the other angle?

Possible Answers:

$15^{\circ}$

$285^{\circ}$

$105^{\circ}$

$150^{\circ}$

$30^{\circ}$

Correct answer:

$15^{\circ}$

Explanation:

Two angles are complementary if they add up to $90^{\circ}$ . We can use the formula:

$x+y=90^{\circ}$

where x and y are the angles.

Now, we know one angle is $75^{\circ}$ . So, we will substitute and solve for the other angle. We get

$x+75^{\circ}=90^{\circ}$

$x+75^{\circ}-75^{\circ}=90^{\circ}-75^{\circ}$

$x+0^{\circ} = 15^{\circ}$

$x=15^{\circ}$

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Example Question #32 : Complementary Angles

If an angle is measured 35 degrees, what is the other angle if both angles are complementary?

Possible Answers:

$75^\circ$

$155^\circ$

$215^\circ$

$55^\circ$

$65^\circ$

Correct answer:

$55^\circ$

Explanation:

Complementary angles sum up to 90 degrees.

To find the other angle, subtract the known angle from 90 degrees.

90-35 = 55

The answer is:

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Example Question #32 : Complementary Angles

Suppose two angles are complementary. What must be if the angles are 2x-5 and degrees?

Possible Answers:

$\frac{35}{2}$

$\frac{19}{2}$

$\frac{37}{2}$

$\frac{17}{2}$

Correct answer:

$\frac{19}{2}$

Explanation:

The sum of both angles must add up to 90 degrees.

2x-5 + 8x = 90

Solve for the variable.

10x-5 = 90

Add 5 on both sides.

10x-5 +5= 90+5

10x=95

Divide by 10 on both sides.

$\frac{10x}{10}=\frac{95}{10}$

Simplify the fraction.

The answer is: $\frac{19}{2}$

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All GED Math Resources

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #23 : Angle Geometry

Example Question #1421 : Ged Math

Example Question #26 : Complementary Angles

Example Question #1422 : Ged Math

Example Question #1423 : Ged Math

Example Question #31 : Complementary Angles

Example Question #31 : Angle Geometry

Example Question #1426 : Ged Math

Example Question #32 : Complementary Angles

Example Question #32 : Complementary Angles

All GED Math Resources

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