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12).What is the angle measure ofL?К.450(x+15) L(2x)O 55O 57O 58360

12What Is The Angle Measure OfLК450x15 L2xO 55O 57O 58360 class=

Sagot :

Answer

Option A is correct.

Angle L = 55°

Explanation

To answer this, we need to note that the sum of angles in a triangle is 180°

So, we can solve for x by summing up the angles of this triangle and equating them to 180°

Angle J + Angle K + Angle L = 180°

2x + 45° + (x + 15)° = 180°

2x + 45° + x + 15° = 180°

2x + x + 45° + 15° = 180°

3x + 60° = 180°

3x = 180° - 60°

3x = 120°

Divide both sides by 3

(3x/3) = (120°/3)

x = 40°

Angle L = x + 15° = 40° + 15° = 55°

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