Adding Angles of Measure Worksheets
Angles can be adding together to make larger angles. We can use this to find the value of smaller angles that we may not know the exact measure of. We can always use the reference angle of a right or straight edge to give us a measure of an angle. These references are great tools for understanding more complex systems. We can maneuver entire geometric systems by adding and subtracting angles as needed to find unknown values across the entire system. In this section we will start with most primitive form of this and find the measure of larger angles by adding smaller ones that accumulate to it. These lessons and worksheets will help students learn how to find the sum of smaller angles to form larger angles.
Aligned Standard: Grade 4 Measurement & Data - 4.MD.7
- Finding Missing Angles Step-by-Step Lesson- Use the sum of angles to find the missing angle.
- Guided Lesson - Please note that the letters are used to indicate the total angle or sum of the 2 angles.
- Guided Lesson Explanation - I treat this one very simplistically.
- Practice Worksheet - Find an assortment of missing angles and angle sums.
- Matching Worksheet - Match the sum of the angles and the missing parts to their measures.
- Answer Keys - These are for all the unlocked materials above.
You have a whole bunch of partial angles that you need to use to find unknown angles with.
- Homework 1 - What is the value of x?
- Homework 2 - A little angle differences for you to determine.
- Homework 3 - If students can understand this diagram, they are way ahead at this point.
Previously, this skill was found up two grade levels on the National curriculum. Did students get smarter since I was in school?
- Practice 1 - Choose the total value of the angle x.
- Practice 2 - Find the value of angle F.
- Practice 3 - In some cases, you will find sums of angles.
Math Skill Quizzes
I could only fit four fully readable problems per quiz. Sorry about that.
- Quiz 1 - You will use mostly sums, but some differences are hanging around too.
- Quiz 2 - These are slightly larger angles for you to find.
- Quiz 3 - This really has a nice mix of problems to test your skills.
How to Add Angles of Measure
Angles are sections of a whole circle. Circles can be divided into angles of all types of different sizes. And if we combine all the angles together, it forms a complete circle once again. The total measure of all the angles in a circle is 360 °. Two overlapping angles can be added together to create a larger angle. We can also use either of these two values to determine the measure of the other angle.
We can better understand this through one of our favorite foods, pizza! Consider a large pizza, where you are combining the slices together backwards, in order to complete its circle form. We know the entire pizza is 360 °. We can see that two of the slices touching each other are not equal size, but when we measure them together, they form a right angle. If we know the measure of one of the ∢ to be 50°. The other slice must be a 50° ∢. This is because:
∢ 40° + ∢ 50° = 90°
This is our first introduction to some basic geometry skills, and it seems pretty straight forward. As we progress forward with geometry, we will quickly realize that this is a fundamental topic that has a huge impact going forward. This simple premise will show up countless times as you begin to make sense of all types of geometric constructions.