GED Math - Complementary Angles

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

Explanation

Complementary angles sum up to 90 degrees.

Subtract the known angle from 90.

The answer is:

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

$55^\circ$

$75^\circ$

$155^\circ$

$215^\circ$

$65^\circ$

Explanation

Complementary angles sum up to 90 degrees.

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

The answer is:

If two angles are complementary, and one angle is measured $\frac{\pi}{3}$ radians, what is the other angle in radians?

$\frac{1}{6}\pi$

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

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

$\frac{1}{5}\pi$

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

Explanation

If the set of angles are complementary, they must add up to $\frac{\pi}{2}$ radians, which is equivalent to 90 degrees.

Subtract $\frac{\pi}{3}$ radians from $\frac{\pi}{2}$ radians.

$\frac{\pi}{2}-\frac{\pi}{3} = \frac{3\pi}{6}-\frac{2\pi}{6}$

The answer is: $\frac{1}{6}\pi$

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

Explanation

Complementary angles sum up to degrees.

Simply subtract the given angle from to determine the expression.

Combine like-terms.

The answer is:

Find the the measure of angle B if it is complement of angle A:

$m\angle A=75^{o}$

$m\angle B=15^{o}$

$m\angle B=25^{o}$

$m\angle B=105^{o}$

$m\angle B=72^{o}$

Explanation

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-75^{o}=15^{o}$

This gives us a final answer of 15 degrees for angle B.

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

$15^{\circ}$

$105^{\circ}$

$30^{\circ}$

$285^{\circ}$

$150^{\circ}$

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

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

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

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

$x=15^{\circ}$

Two angles are complementary if they add up to:

$90^{\circ}$

$180^{\circ}$

$270^{\circ}$

$360^{\circ}$

$45^{\circ}$

Explanation

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

The image is not to scale.

If the sum of two angles results in a complementary angle, what is the measure of the unknown angle?

Capture2

$60^{\circ}$

$150^{\circ}$

$30^{\circ}$

$90^{\circ}$

$20^{\circ}$

Explanation

With the provided image, we are asked to solve for the measure of the unknown angle.

Capture2

First, we must understand some information before attempting to solve the problem. The problem provides the information that the two angles summed up result in a complimentary angle. This is another way to say that when we add the measures of the two angles, it will equal $90^{\circ}$ .

This becomes a problem where we solve for a missing variable now. We can call the unknown angle x. We would set this up in equation format accordingly:

Now, we can solve for x.

$x+30{\color{Red} -30}=90{\color{Red} -30}$

$x=60^{\circ}$

Therefore, the unknown angle is $60^{\circ}$ .

Find the the measure of angle B if it is complement of angle A:

$m\angle A=27^{o}$

$m\angle B=63^{o}$

$m\angle B=153^{o}$

$m\angle B=77^{o}$

$m\angle B=94^{o}$

Explanation

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-27^{o}=63^{o}$