Complementary And Supplementary Angles Worksheet – Complementary angles are two angles whose sum is 90 degrees. This means that when two angles are added and their sum is 90 degrees, then they are complementary angles. You can find out if angles are complementary angles by using addition or subtraction. When determining which angles are complementary angles, subtract to get the measure of the missing angles. For example, if you know that one angle measurement is 60 degrees and you need to find the second angle measurement, you can subtract 90 degrees from 60 degrees to get the remaining angle measurement.
Related topics: area of a circle, area of a semicircle, circumference of a circle, circumference of a semicircle, supplementary angles, vertical angles
Complementary And Supplementary Angles Worksheet
When two angles add up to 90 degrees, they are called complementary angles. You can find out whether angles are complementary angles or not by using subtraction or addition. To answer how to find complementary angles, subtract to get the measure of the missing angle. For example, in case you realize that one angle measurement is 25 degrees and you need to calculate the second angle measurement, do 90 degrees subtracting 25 degrees to get the final angle measurement of 65 degrees.
Lesson 2 Homework Practice Complementary And Supplementary Angles Answer Key: Fill Out & Sign Online
Watch our free video on defining complementary angles. This video shows how to troubleshoot on our free extra corners worksheet which you can get by sending your email above.
This video answers the question of what are complementary angles. You can get the worksheet used in this video for free by clicking the link in the description below.
Complementary angles are two angles that add up to 90 degrees. A 90 degree angle is also called a right angle. It is always denoted by a square at the intersection of two rays forming an angle. To solve for complementary angles, you have to take the angle that you know, in this case let’s say this angle is 30 degrees, and we don’t know it. You take the angle you know, which is 30 degrees, and since the two angles added should add up to 90 degrees, all you do is take 90 degrees minus the angle you know, which in this case is 30 to get your solution. The missing angle in this example should be 60 degrees because the two angles added together should add up to 90. This should be 60.
Now we’re going to do some practice problems on our extra corners worksheet. Let’s move on to number two on our complementary angles worksheet. We already know that the definition of complementary angles is when two angles added together give 90 degrees. We can see that this red square below means that the two angles form a right angle or a 90 degree angle. We know this angle right here is 27 degrees, but we don’t know this angle, but we do know that both angles must add up to 90 degrees. We’re going to take our 90 degrees, because they both have to add up to 90, and we’re going to subtract that by the angle we know, which in this case is 27 degrees. When you subtract these two, you get 63 degrees which is our answer. Since we know this is 27 and the two together should be 90, the only option for this angle is for it to be 63 degrees.
Complementary, Supplementary, And Vertical Angles X Y X + Y = 180 ° A B A + B = 90 ° C D E Fg Dce = M M Fcg.
Let’s move on to number four on the complementary angles worksheet. Now the number four gives us another right angle which automatically means they are complementary because we know that the definition of complementary angles is two angles that add up to 90 degrees. What we can do is take the angle that we know is 40 degrees and we can subtract that from 90. We know the whole thing has to be 90 degrees and we know this part right here is 40 degrees, so we’re going to take that away. Then we do 90 degrees minus 40 degrees and we get 50 degrees. So this angle must be 50 degrees because the two angles should add up to 90.
The last problem we’re going to do in our complementary angles worksheet is number five. Again, complementary angles are defined as two angles that add up to 90 degrees. In the case of the number five, we know one angle should be 25 degrees, but we don’t know the other angle. This is what we are about to find out. If the two add up to 90, that means we can subtract 25 from 90, and when we subtract 25 from 90, we get 65 degrees. So we know this angle must be 65 degrees.
Join thousands of other education experts and get the latest education tips and tactics delivered straight to your inbox.