Answer: the measure of angle 2 (m2DEG) is 148 degrees.
Step-by-step explanation:
To find the measure of angle 2 (m2DEG), we can use the fact that angles D, C, and F form a linear pair.
A linear pair consists of two adjacent angles that add up to 180 degrees. In this case, angle CDF is a linear pair, so we can set up the equation:
mCDF + m2DEG = 180°
Given that mCDF = 32°, we can substitute this value into the equation:
32° + m2DEG = 180°
To solve for m2DEG, we can subtract 32° from both sides of the equation:
m2DEG = 180° - 32°
m2DEG = 148°
