HELP.

∠IGF = 83

Step-by-step explanation:

∠IFG = ∠ IBC = 47

∠IGF = 180 - 50 - 47 = 83

Step-by-step explanation:

Alternate exterior angles rule used for angle ABF,

1. subtract the measurement of angle FBC from 180 to find measurement for angle ABF. (180-47)= 133 degrees

Line segments EH and AD are paralell therefore angle EFB is equal to angle FBC ( they are both 47 degrees). This also means that angle ABF is equal to angle BGF. (they are both 133 degrees)

since we know the angle BFG is equal to 133 degrees we can subtract 133 from the straight line (180) to find out the measurement for angle IGF.

180-133= 47 degrees

Now we can solve for angle IGF because we know all angles in a triangle have a sum of 180 degrees. Therefore IGF will be the difference between 180 and the sum of the BFG and FIG.

Angle IGF= 180- (47+50)

Angle IGF= 180-97

Angle IGF- 83 degrees

Therefore angle IGF= 83 degrees