What expression is equivalent to 4(4d)

B

Step-by-step explanation:

Hi there!

We're given the measure of <AOC (the big angle) as 90°

and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°

we want to find the value of what x is

because of angle addition postulate, m<AOC=m<BOC+m<AOB

so we can substitute our known values into that equation

90°=14°+3x°+46°

our goal is to isolate the variable of x onto one side

add 14 and 46 together

90°=3x°+60°

subtract 60° from both sides

30°=3x°

divide both sides by 3

10°=x

therefore B is your answer

Hope this helps!