Respuesta :

Answer:

[tex]\angle DPB = 47\textdegree[/tex]

Step-by-step explanation:

Since both [tex]\angle DPB[/tex] and [tex]\angle BPC[/tex] are supplementary (two angles that equal 180°) and you need to find the missing measurement for [tex]\angle DPB[/tex], subtract the measurement of [tex]\angle BPC[/tex] from 180:

[tex]180\textdegree - \angle BPC = \angle DPB[/tex]

[tex]180\textdegree - 133\textdegree = 47\textdegree[/tex]

[tex]\angle DPB = 47\textdegree[/tex]