Question

In quadrilateral ABCD, AE bisects angle A and DE bisects angle D. Find L AED if L B = 40 and L C = 110

Plz help
I will mark you as brainliest

Answer 1

Answer:

Answer : 75

Explanation:

We know that the sum of the interior angles of a quadrilateral is 360 °.

So, <A+<B+<C+<D = 360

OR, <A+<D+40+110=360[<B=40,<C=110]

OR, <A + <D =360-150

OR, <A+<D = 210

OR, (<A+<D)/2 = 210/2[Dividing 2 by both sides]

OR, <A/2+<D/2 = 105

OR, <DAE + <ADE = 105 [AE bisects <A and DE bisects <D]

Now, the sum of the interior angles is 180 .

SO, <DAE + <ADE + <AED = 180

OR, 105 +< AED = 180[<DAE +<ADE = 105]

OR, <AED = 180 - 105

OR, <AED = 75

Hope it is helpful to you.