Infinity Many Solutions
- Harvard university professor
Two angles, each 90 degrees
Answer:
x = 91, y = 89, z = 31 Fourth choice
Step-by-step explanation:
x = 180 - 51 - 38 = 91
y = 180 - 91 = 89
z = 180 - 60 - 89 = 31
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