Answers:
- x = 8
- angle HIK = 42 degrees
- angle LIJ = 42 degrees
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Explanation:
Vertical angles are always congruent.
Set the two expressions equal to one another and solve for x.
6x - 6 = 3(x+6)
6x - 6 = 3x + 18
6x - 3x = 18 + 6
3x = 24
x = 24/3
x = 8
Then use this x value to find each angle
- angle HIK = 6x - 6 = 6*8 - 6 = 42
- angle LIJ = 3(x+6) = 3*(8+6) = 42
Both angles are 42 degrees each to confirm the answer.
