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marusya05 [52]
3 years ago
11

Find m∠LKM. m∠LKM= °

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

∠ LKM = 125°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ LKM is an exterior angle of the triangle , then

3x - 70 = x + 60 ( subtract x from both sides )

2x - 70 = 60 ( add 70 to both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Then

∠ LKM = 3x - 70 = 3(65) - 70 = 195 - 70 = 125°

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