The overall focus of math near the end of the year was angles. We studied 4 different types of angles, and for this lesson I’ll explain how to find the value of a missing angle using these terms. These are the four different types of angles:
Vertical- Two angles that are exactly opposite each other. Remember: Vertical angles have equal values on both sides!
Supplementary- Two angles that when placed together have a sum of 180 degrees.
Adjacent- Two angles that are placed directly next to each other (not 180/90 degrees)
Complementary- Two angles that when placed together have a sum of 90 degrees.
When we a solve to find the value of a missing angle, we first must determine which kind of angle we are using. For this case, we won’t use adjacent angles. For complementary and supplementary angles, we place the value of both angles (either 180 or 90 degrees) on one side of the equation and the missing angles on the other side. For vertical, we know that the missing angle will have the same value of the angle opposite it, but we can also solve it using a multi-step equation. For missing angles, we must find the value of x and then solve for the missing angles.
Here is an example of each:
We can also solve these problems when the missing angle is an expression, such as x + 96.
Now it is your turn. For these problems, determine the type of angle, solve for the value of x and then determine the value of the missing angle. Check your answers on July 16. (I am going on vacation; there will be no It All Adds Up next week).
Thanks for reading!