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MidWestone
To begin, let's establish that angle BED is 180 degrees.

I see that the variable X is said to be 7.

If this is true, then...

Angle AEB = 11(7) - 12
Angle AEB = 77 - 12
Angle AEB = 65 degrees

Angle CED = 4(7) + 1
Angle CED = 28 + 1
Angle CED = 29 degrees

Let's solve for angle BEC now.

Angle AEB + angle CEB = 94 degrees

Angle BED - 94 = 86

Therefore, angle BEC = 86 degrees.

Let's solve for angle AEC now.


Angle AEB + angle BEC = 151

Angle AEC = 151 degrees.

I hope this is helpful! Please mark as brainliest!


So we can see that angleAED is a straight angle so it equals 180 degrees

But to get 180 degrees we need to add everything that is given to us so we do:
11x - 12 + 4x + 1 + 4x +1 = 180

And now u just combine like terms and solve.
After solving you get:
X=10

Now just plug in the value of x into the original expressions that were given:
angleAEB: 11(10) -12 = 98
angleCED: 4(10) +1 = 41

All you have to do it add the measure of angleAEB and angle CED together to get angle AEC:
98 + 41 = 139

And that’s your answer
angle AEC = 139 degrees


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