what is the justification of 60degree + m angle 2 = 90degree

I'm sorry -- but I have no idea! My math skills stop about 6th or 7th grade.

only if angle to is 30 degrees is this equation justified

To find the justification for the equation 60 degrees + m(angle2) = 90 degrees, we need to understand the properties of angles and use basic algebraic principles.

1. Angle Addition Property: The measure of the sum of two angles equals the sum of their measures. In this case, the sum of 60 degrees and m(angle2) is equal to 90 degrees.

2. Solve for m(angle2): To find the value of m(angle2), we need to isolate it on one side of the equation. Subtracting 60 degrees from both sides gives us:
m(angle2) = 90 degrees - 60 degrees
m(angle2) = 30 degrees

3. Justification: The equation 60 degrees + m(angle2) = 90 degrees can be justified using the Angle Addition Property and solving for m(angle2) using algebraic principles. The value of m(angle2) is determined to be 30 degrees.

This is the step-by-step process to understand the justification for the given equation.