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Fiesta28 [93]
3 years ago
9

Help me pls i need it fast!thanks

Mathematics
2 answers:
never [62]3 years ago
7 0

Answer:

the answer is m/_ JKN = 77⁰

Aleks04 [339]3 years ago
6 0

Answer:

Angle JKN = 77°

Step-by-step explanation:

for our ease, let angle JKL = a , angle LKN = b, angle NKM = c

Since angle a + b + c  = 105°    (angle JKM = 105°) --------------------- (1)

but we are also given that angle b + c (angle LKM) is equal to 56°

using it in equation (1), we get

a + 56° = 105°

a = 49°

We are given that the line KN bisects the angle (b + c)

Hence, b = c

angle b (LKN) = angle c (NKM)  = 28°

Angle  JKN = angle a + b

Angle JKN = 49 + 28

Angle JKN = 77°

Kindly Mark Brainly, Thanks!

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