if ABC was bisected by BD, what is the mABC (CBD measures 48 degrees)

Answer 1

Since BD bisects angle ABC, it divides it into two equal parts: angle ABD and angle CBD. Given that \( m\angle CBD = 48^\circ \), we can conclude that:

\[ m\angle ABD = m\angle CBD = 48^\circ. \]

Therefore, to find \( m\angle ABC \), we add the measures of angles ABD and CBD:

\[ m\angle ABC = m\angle ABD + m\angle CBD = 48^\circ + 48^\circ = 96^\circ. \]

Thus, \( m\angle ABC = 96^\circ \).