How Do You Find Angle Measures for Adjacent Angles?

1. An angle is formed when 2 rays are connected by a common endpoint.
1. An angle is formed when 2 rays are connected by a common endpoint.
2. x is the variable we need to find to find the measure of GET
1. We need to set up an equation that contains x so that we can solve for x
1. Angles are adjacent when they have a common side and a common vertex.
2. Since both GET and TEM have x and we know the measure of GEM, we can set up an equation to solve for x
1. Like terms have the same variables raised to the same power, such as 7x+2x or 18x³+5x³.
2. Here, 3x and 2x are like terms, so we can combine them to get 5x
1. Plug 33.1 in for x to find the measure of GET
2. First multiply 3•33.1 to get 99.3
3. Then add 99.3+7 to get 106.3°, which is the measure of angle GET

In the diagram at right, angle GEM measures 172.5°. Find the measure of angle GET