Question

Please answer quickly, 50 points. thank you!

Answer 1

Hey there!!

We know:

Angle CED = 4x+1

And the line EC bisects the angle BED.

What does bisect mean?

Bisecting is something which cuts something into half.

Hence,

Angle BEC would also be 4x+1

Angle AEB = 11x-12

Now, we know that the total angle is 180°

Hence,

... 4x+1+4x+1+11x-12 = 180

Combining like terms:

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

... 19x-10 = 180

Adding 10 on both sides:

... 19x= 180+10

... 19x=190

Dividing 19 on both sides:

... x = 190/19

... x = 19.

Angle AEB+BEC=?

... 11x-12+4x+1=?

... 11(19)-12+4(19)+1=?

... 209-12+76+1=?

... 274.

Hence, the required answer is 274°.

Hope my answer helps!!