Answer:
aef = fed = 51 degrees,
and the full angle aed = 102 degrees
Step-by-step explanation:
If ef bisects the angle aed, then the two angles it defines: aef and fed, must measure the same.
Therefore we can asume that aef = fed which numerically means:
4 x + 3 = 7 x - 33
so we solve for x:
33 + 3 = 7 x - 4 x
36 = 3 x
x = 36/3
x = 12 degrees
That means that the half angle aef measures:
aef = 4 x + 3 = 4 (12) + 3 = 48 + 3 = 51 degrees
Then we have that aef = fed = 51 degrees,
and the full angle aed = 51 + 51 = 102 degrees
