Answer: To prove the equation m < 5 + m < 2 + m < 6 = 180, we need to understand the meaning of the given notation.
In this context, "m < x" represents the measure of angle m with respect to angle x.
Let's break down the equation step-by-step:
1. m < 5: This means the measure of angle m with respect to angle 5.
2. m < 2: This means the measure of angle m with respect to angle 2.
3. m < 6: This means the measure of angle m with respect to angle 6.
Now, to prove that m < 5 + m < 2 + m < 6 = 180, we need to use the fact that the sum of angles in a triangle is 180 degrees.
In a triangle, the three angles add up to 180 degrees. So, we can say that the sum of the measures of angles 5, 2, and 6 is equal to 180 degrees.
Therefore, m < 5 + m < 2 + m < 6 = 180 is true based on the property of triangles.