Question

Need help please asap, thanks!

Answer 1

If BC bisects BED, this means that BED is split into two equal parts and that CED = BEC. We can see that AD forms a straight line, which means BED and AEB must be supplementary, ow have a sum of 180 degrees. Since CED has the same angle measure as BEC, this means that BED can be found by multiplying as shown:

`BED = 2(CED) --> 2(4x + 1) --> BED = 8x + 2`

Now find the value of x:

`11x - 12 + 8x + 2 = 180`

Combine like terms:
`11x + 8x - 12 + 2 = 180`

-->
`19x - 10 = 180`

--->
`19x - 10 + 10 = 180 + 10 --> 19x = 190`

Isolate x -->
`(19x)/(19) = (190)/(19)`

x = 10

Plug in the value of x:

`AEB + BEC = ?`

-->
`11(10) - 12 + 4(10) + 1AEC`

--->
`110 - 12 + 40 + 1 = AEC`

---->
`98 + 41 = AEC`

So AEC is 139 degrees.