Final answer:
The measure of angle 2 (m∠2) is found by adding the measures of the given adjacent angles EBC (55°) and EBD (20°), which equals 75°. Hence, the correct answer is D. 75 degrees.
Step-by-step explanation:
To find the measure of ∠ 2 (m∠2), we need to use the given measures of angles EBC and EBD. Since the angles are part of the same figure and share a side, they are adjacent angles. The measure of angle EBC is given as 55 degrees and measure of angle EBD is given as 20 degrees.
By adding these measures, we get the measure of angle 2: m∠2 = mEBC + mEBD = 55° + 20° = 75°.
Therefore, the answer is D. 75 degrees.