See the picture :D. Please help fast.

In ΔABD and ΔAEC

BE=DC (given) …(i)

Subtracting DE from both side of (i), we get

BE–DE=DC–DE

BD=EC

AB=AC (given)

∠B=∠C  (angle opposite to equal sides are equal)

Similarly, ΔABD≅ΔAEC

AD=AE (by c.p.c.t)

Hence proved

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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