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Answer: Angle L = 54 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle J + Angle K + Angle L = 180 degrees
Looking at the triangle,
Angle J = 5x degrees
Angle K = 2x degrees
Angle L = 3x degrees
Therefore,
5x + 2x + 3x = 180
10x = 180
Dividing the left hand side of the equation and the right hand side of the equation by 10, it becomes
10x/10 = 180/10
x = 18
Therefore,
Angle L = 3 × 18 = 54 degrees
Answer:
m∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180
10x = 180
x = 180/10
x = 18
3*18 = 54