Answer: in triangle LMO, the measure of angle LMO (x) is 6 degrees, and in triangle LNO, the measure of angle LNO (m) is 174 degrees.
Step-by-step explanation:
In the given scenario, we are dealing with two triangles: triangle LMO and triangle LNO. Let's identify the information provided:
- The measure of angle LMO is represented by x.
- The measure of angle LNO is represented by m.
- The sum of angles LMO and LNO is 180 degrees (since they are angles in a triangle).
Given that information, we can set up an equation based on the sum of angles in a triangle:
x + m = 180
Additionally, we are given that:
2x + 6 = 18
To find the value of x, we can solve the equation 2x + 6 = 18:
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12 / 2
x = 6
Now that we have found the value of x, we can substitute it back into the first equation to find the value of m:
6 + m = 180
m = 180 - 6
m = 174
Therefore, in triangle LMO, the measure of angle LMO (x) is 6 degrees, and in triangle LNO, the measure of angle LNO (m) is 174 degrees.
