Angle Geometry - GED Math

The sum of complementary angles is equal to .

Set up the following equation and solve for :

and form a linear pair, so their measures add up to that of a straight angle, which is . They must be supplementary (and cannot be complementary).

and are a pair of vertical angles - angles formed from a pair of intersecting lines which together have the lines as the union. They must be congruent, and need not be complementary.

and are a pair of same-side interior angles formed by transversal across the parallel lines. They must be supplementary (and cannot be complementary).

and are the acute angles of right triangle . They must be complementary. This is the correct pair.

Since angles A and B are complementary angles, their measurements add up to equal 90. Therefore, we need to set up our equation as follows:

-or-

Combine like terms:

And solve for :

Since angles A and B are complementary, their measures add up to 90 degrees. Therefore we can set up our equation as such:

-or-

Combine like terms and solve for :

Since angles A and B are complementary, their measures add up to equal 90 degrees. Therefore we can set up an equation as follows:

-or-

Combine like terms and solve for :

Now that we have found , we need to plug that back in to the two angle measurements

Set up the equation such that both angles sum up to 90.

Add 5 on both sides.

Divide both sides by 8.

The value of is:

The answer is:

Complementary angles must add up to 90 degrees.

Set up an equation so that the sum of two angles add up to 90.

Subtract 8 on both sides.

Simplify both sides.

Divide by two on both sides.

The answer is:

Note that this is in radians. Recall that 2 complementary angles must add up to 90 degrees.

Since ,

To find the complementary angle, subtract from .

The answer is:

Complementary angles add up to 90 degrees.

Set up the equation such that both angles add up to 90.

Divide by 6 on both sides.

The smallest angle is .

Substitute the value of into the expression.

The answer is:

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:

This gives us a final answer of 31 degrees for angle B.

Complementary angles add up to 90 degrees.

Set up the equation to solve for .

Combine like-terms.

Subtract 6 from both sides.

Divide by three on both sides.

This means that .

The answer is:

Note that complementary angles sum up to 90 degrees. There is no after the fraction, which means that this value is in degrees, and not radians.

To determine the other angle, simply subtract the angle from 90 degrees.

The answer is:

Complementary angles sum up to 90 degrees.

To find the other angle, subtract 62 from the value of 90.

The answer is:

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

Simplifying, you get:

The smaller angle clearly is :

degrees

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

Simplifying, you get:

It is best to compute both angles to be safe:

degrees

This means that the other is degrees

Two angles are complementary when they add up to . So, to find the value of complementary angles, we will use the following formula:

Now, we know

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

Two angles are complementary if they add up to . So, to find complementary angles, we will use the following formula:

Now, we know the value of one angle is , so we will substitute. We get

Now, we will solve for b. We get

Therefore, the value of the other angle is .

Complementary angles sum up to 90.

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

Combine like-terms.

The answer is:

Two angles are complementary if they add up to . So, we will use the following formula:

We know , so we will substitute and solve for b. We get