Question

If ef bisects aed, aef=4x+3 and fed=7x-33 find m

Answer 1

aef = fed = 51 degrees,

and the full angle aed = 102 degrees

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