Question

Find the measure of C for the circle :

Answer 1

x = 72

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 =
`(1)/(2)` arc DB

we are given that arc DB = 144

so we exchange arc db with 144

∠DBC =
`(1)/(2) 144`

`(1)/(2) 144=72`

so we can conclude that ∠DBC (x) = 72