Line db bisects ∠abc, m∠abd = 4x, and m∠dbc = x + 36. find m∠abc. choose true or false for each statement. a. m∠abc = 48° a. true b. false b. m∠abc = 96° a. true b. false c. m∠dbc = 48° a. true b. false

Since DB bisects ∠ABC and ∠ABC= ∠ABD + ∠DBC, then

∠ABD = ∠DBC, that is

4x = x + 36 ( subtract x from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

∠ABD = 4x = 4× 12 = 48°

∠DBC= x + 36 = 12 + 36 = 48°

∠ABC = 48° + 48° = 96°

Thus statement A is FALSE

statement B is TRUE

statement C is TRUE

n

step-by-step explanation: