Answer:
B) 57
Step-by-step explanation:
since BD ≅ BC then ∡C = ∡D
6x-9 = 3x + 24
subtract 3x from each side to get:
3x-9 = 24
add 9 to each side to get:
3x = 33
divide each side by 3 to get:
x = 11
substitute 11 into 'x' in 3x + 24 to get:
3(11) + 24 = 33+24 = 57
check:
substitute 11 into 'x' in 6x - 9 to get:
6(11) - 9 = 66 - 9 = 57
