Answer:
x = 72
Step-by-step explanation:
∠DBC is an included angle and arc DB is its corresponding arc
Relationship between an included angle and its corresponding arc: an included angle is equal to one half of its corresponding arc
so
∠DBC = [tex]\frac{1}{2}[/tex] arc DB
we are given that arc DB = 144
so we exchange arc db with 144
∠DBC = [tex]\frac{1}{2} 144[/tex]
[tex]\frac{1}{2} 144=72[/tex]
so we can conclude that ∠DBC (x) = 72
