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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 #16 : Complementary Angles

Sup2

The angles above are complementary.

What is the size of the larger angle?

Possible Answers:

$42^\circ$

$48^\circ$

$102^\circ$

$13^\circ$

$78^\circ$

Correct answer:

$48^\circ$

Explanation:

Since the angles are complementary, you know that they must add up to a total of degrees. Based on our data, this means:

2x+16+3x+9=90

Simplifying, you get:

5x+25=90

5x=65

x=13

It is best to compute both angles to be safe:

2*13+16=26+16=42 degrees

This means that the other is 90-42=48 degrees

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Example Question #1411 : Ged Math

Complementary angles add up to how many degrees?

Possible Answers:

180

225

360

Correct answer:

Explanation:

Two angles are complementary when they add up to $90$^{\circ}$$ .

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Example Question #18 : Complementary Angles

Angles a and b are complementary. If $a = 33 $^{\circ}$$ , what is the value of b?

Possible Answers:

$57$^{\circ}$$

$66$^{\circ}$$

$192$^{\circ}$$

$327$^{\circ}$$

$147$^{\circ}$$

Correct answer:

$57$^{\circ}$$

Explanation:

Two angles are complementary when they add up to $90$^{\circ}$$ . So, to find the value of complementary angles, we will use the following formula:

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

Now, we know

$a = 33$^{\circ}$$

So, we will substitute and solve for b. We get

$33$^{\circ}$ + b = 90$^{\circ}$$

$33$^{\circ}$ - 33$^{\circ}$ + b = 90$^{\circ}$ - 33$^{\circ}$$

$b = 57$^{\circ}$$

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Example Question #19 : Complementary Angles

If two angles are complementary, and one angle is $80$^{\circ}$$ , what is the value of the other angle?

Possible Answers:

$145$^{\circ}$$

$80$^{\circ}$$

$10$^{\circ}$$

$280$^{\circ}$$

$100$^{\circ}$$

Correct answer:

$10$^{\circ}$$

Explanation:

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

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

Now, we know the value of one angle is $80$^{\circ}$$ , so we will substitute. We get

$80$^{\circ}$ + b = 90$^{\circ}$$

Now, we will solve for b. We get

$80$^{\circ}$ - 80$^{\circ}$ + b = 90$^{\circ}$-80$^{\circ}$$

$0 + b = 10$^{\circ}$$

$b = 10$^{\circ}$$

Therefore, the value of the other angle is $10$^{\circ}$$ .

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Example Question #1412 : Ged Math

What angle is complementary to 5x-5 ?

Possible Answers:

95-5x

85-5x

5x-85

5x-95

5x+95

Correct answer:

95-5x

Explanation:

Complementary angles sum up to 90.

This means that the other angle must be the difference from 90.

90-(5x-5) = 90-5x+5

Combine like-terms.

The answer is: 95-5x

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Example Question #21 : Complementary Angles

Angles a and b are complementary. If $a= 70^{\circ}$ , find b.

Possible Answers:

$b=70^{\circ}$

$b=110^{\circ}$

$b=10^{\circ}$

$b=190^{\circ}$

$b=20^{\circ}$

Correct answer:

$b=20^{\circ}$

Explanation:

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

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

We know $a= 70^{\circ}$ , so we will substitute and solve for b. We get

$70^{\circ} + b = 90^{\circ}$

$70^{\circ} - 70^{\circ}+b=90^{\circ}-70^{\circ}$

$0^{\circ}+b=20^{\circ}$

$b=20^{\circ}$

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Example Question #22 : Complementary Angles

If two angles are complementary, and one angle is measured 90-90x degrees, what must be the other angle?

Possible Answers:

90x

90x-90

-90x

180-90x

180x

Correct answer:

90x

Explanation:

Complementary angles sum up to degrees.

Simply subtract the given angle from to determine the expression.

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

Combine like-terms.

The answer is: 90x

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Example Question #21 : Complementary Angles

Suppose two angles are complementary. If an angle is $\frac{\pi}{4}$ radians, what must be the value of the other angle?

Possible Answers:

$\frac{1}{4}\pi$

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

$\frac{1}{2}\pi$

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

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

Correct answer:

$\frac{1}{4}\pi$

Explanation:

Recall that $\pi \textup{ rad} = 180 \textup{ deg}$ .

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

To find the other angle, subtract $\frac{\pi}{4}$ radians from $\frac{\pi}{2}$ radians.

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

The answer is: $\frac{1}{4}\pi$

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Example Question #21 : Angle Geometry

Suppose two angles are complementary. If an angle is measured $\frac{35}{3}$ degrees, what is the other angle?

Possible Answers:

$\frac{505}{3}$

$\frac{45}{2}$

$\frac{235}{6}$

$\textup{The answer is not given.}$

$\frac{235}{3}$

Correct answer:

$\frac{235}{3}$

Explanation:

The sum of both angles will be 90 degrees since they are complementary.

Subtract the given angle from 90.

$90-\frac{35}{3} = \frac{270}{3} - \frac{35}{3} = \frac{235}{3}$

The answer is: $\frac{235}{3}$

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Example Question #1413 : Ged Math

Two angles are complementary if they add up to:

Possible Answers:

$180^{\circ}$

$45^{\circ}$

$360^{\circ}$

$90^{\circ}$

$270^{\circ}$

Correct answer:

$90^{\circ}$

Explanation:

Two angles are complementary if they add up to $90^{\circ}$ .

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #16 : Complementary Angles

Example Question #1411 : Ged Math

Example Question #18 : Complementary Angles

Example Question #19 : Complementary Angles

Example Question #1412 : Ged Math

Example Question #21 : Complementary Angles

Example Question #22 : Complementary Angles

Example Question #21 : Complementary Angles

Example Question #21 : Angle Geometry

Example Question #1413 : Ged Math

All GED Math Resources

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