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3 years ago

Question: Find m HK...

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

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