Question

exterior angles of polygons
question
the measures of the exterior angles of a triangle are ( 6x^{circ},8x^{circ} ), and ( 10x^{circ} ). solve for ( x ).
answer
attempt 1 out of 2
( x=)

Explanation:

Step1: Recall the sum of exterior angles of a triangle

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

Step2: Set up the equation

We have the exterior angles \(6x^{\circ}\), \(8x^{\circ}\), and \(10x^{\circ}\). So, \(6x + 8x+10x=360\).

Step3: Combine like terms

\((6 + 8+10)x=360\), which simplifies to \(24x = 360\).

Step4: Solve for \(x\)

Divide both sides of the equation by \(24\): \(x=\frac{360}{24}=15\).

Answer:

\(15\)