ray EC bisects angle BED, The measure of angle AEB equals 11x minus 12.and The measure of angle CED equals 4x plus 1.. Find measure of angle AEC.

Answer 1

Can't tell whether A is in between B and E or not.

But, you know that BEC=BED

That should help you pin down AEC.

If A is between B and C

BEA+AEC=BEC
11x-12 + AEC = 4x+1
AEC = 13-7x

or, if B is between A and C,

AEC-AEB=BEC
AEC-11x+12 = 4x+1
AEC = 15x-13

Of course, A could be a lot of other places, too.

Answer 2

You first have to find x.
To find x, we need to add all the angles together to get 180°.
Since EC bisects BED, we know angle BEC and CED equal the same measure.
AEB + BEC + CED = 180°
(11x - 12) + (4x + 1) + (4x + 1) = 180°
Add like terms and solve
19x - 10 = 180
19x = 190
x = 10

Now, we substitute 'x' in AEB and BEC
AEB = 11x - 12
11 (10) - 12
AEB = 98

BEC = 4x + 1
4 (10) + 1
BEC = 41

98 + 41 = 139

AEC = 139

Hope this helps!

Answer 3

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Answer 4

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Answer 5

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