All GED Math Resources
Example Questions
Example Question #31 : Complementary Angles
Use the following angles to answer the question:
If these two angles are complementary, find the value of x.
Two angles are complementary if they add up to . So, we can use the formula
where x and y are the angles.
So, given the angles
we can see one angle is . So, we can substitute and solve for x. We get
Example Question #31 : Angle Geometry
If angle measure is degrees, what is the other angle if both angles are complementary?
Complementary angles add up to 90 degrees.
To determine the other angle, subtract 81 from 90.
The answer is:
Example Question #1426 : Ged Math
If two angles are complementary, and one angle is , what is the value of the other angle?
Two angles are complementary if they add up to . We can use the formula:
where x and y are the angles.
Now, we know one angle is . So, we will substitute and solve for the other angle. We get
Example Question #31 : Complementary Angles
If an angle is measured 35 degrees, what is the other angle if both angles are complementary?
Complementary angles sum up to 90 degrees.
To find the other angle, subtract the known angle from 90 degrees.
The answer is:
Example Question #32 : Complementary Angles
Suppose two angles are complementary. What must be if the angles are and degrees?
The sum of both angles must add up to 90 degrees.
Solve for the variable.
Add 5 on both sides.
Divide by 10 on both sides.
Simplify the fraction.
The answer is:
Example Question #33 : Angle Geometry
If two angles are complementary, and one angle is measured radians, what is the other angle in radians?
If the set of angles are complementary, they must add up to radians, which is equivalent to 90 degrees.
Subtract radians from radians.
The answer is:
Example Question #34 : Angle Geometry
Which angle is complementary to 30 degrees?
Complementary angles must sum up to 90 degrees. In order to find the other angle, we must subtract the given angle from 90 degrees.
The answer is:
Example Question #35 : Angle Geometry
Which of the following pairs of angles are complementary angles?
Which of the following pairs of angles are complementary angles?
Recall that complementary angles are angles which add up to 90 degrees.
In this case, all we have to do is see which pairs sum to 90, and that will be our answer:
So it must be the last one.
Example Question #34 : Complementary Angles
Right triangle has right angle and angle . What would be the measure of an angle which is complementary to ?
No calculation is actually required for this problem. is the right angle of , so and must comprise a complementary pair of angles. Since is complementary to , any angle complementary to must have measure equal to that of , which is .
Example Question #35 : Complementary Angles
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?
With the provided image, we are asked to solve for the measure of the unknown angle.
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 .
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.
Therefore, the unknown angle is .