Final answer:
To find m∠ABE, subtract the measure of ∠CBD from 180°.
Step-by-step explanation:
To find m∠ABE, we need to determine the relationship between ∠CBD and ∠ABE. Since ∠CBD is a straight angle, its measure is 180°. Therefore, ∠ABE = 180° - m∠CBD.
Given that m∠CBD = 148°, we can substitute this value into the equation: ∠ABE = 180° - 148° = 32°.
Therefore, m∠ABE = 32°.