Question

Find m∠LKM.



m∠LKM=
°

Answer 1

∠ LKM = 125°

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°