Question

angle pairs
what is the value of x?

Explanation:

Step1: Use the exterior angle theorem

In a triangle, an exterior angle is equal to the sum of the two non - adjacent interior angles. So, \(6x - 2+6x - 2=2x + 94\) (since the two non - adjacent interior angles are equal as the triangle is isosceles).

Step2: Simplify the equation

\(6x-2 = 2x + 94\)
Subtract \(2x\) from both sides: \(6x-2x-2=2x-2x + 94\)
\(4x-2=94\)

Step3: Solve for \(x\)

Add \(2\) to both sides: \(4x-2 + 2=94+2\)
\(4x=96\)
Divide both sides by \(4\): \(x=\frac{96}{4}\)

Answer:

\(x = 24\)