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 --> $\frac{19x}{19} = \frac{190}{19}$

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.