Question

question
the measures of the exterior angles of a hexagon are 2x°, 3x°, 4x°, 5x°, 6x°, and 10x°. solve for x.
answer attempt 1 out of 2
x =
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Explanation:

Step1: Recall the sum of exterior angles

The sum of the exterior angles of any polygon is \(360^{\circ}\).

Step2: Set up the equation

We have the exterior angles \(2x^{\circ},3x^{\circ},4x^{\circ},5x^{\circ},6x^{\circ},10x^{\circ}\). So, \(2x + 3x+4x + 5x+6x + 10x=360\).

Step3: Combine like terms

\((2 + 3+4 + 5+6 + 10)x=360\), which simplifies to \(30x = 360\).

Step4: Solve for \(x\)

Divide both sides by \(30\), \(x=\frac{360}{30}\).

Answer:

\(12\)