Question

solve for \x\
date:
period
question 1

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
In this case, \(4x=x + 18\)

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides of the equation:
\(4x−x=x + 18−x\)
\(3x=18\)
Divide both sides by 3:
\(x=\frac{18}{3}\)

Answer:

\(x = 6\)