Question

find the missing value.
x =
answer
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Explanation:

Step1: Use the property of isosceles triangle

Since the triangle is isosceles (marked with equal - side symbols), the two sides \(4x + 2\) and \(6x-30\) are equal. So we set up the equation \(4x + 2=6x - 30\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides:
\(4x+2-4x=6x - 30-4x\)
\(2 = 2x-30\)
Add \(30\) to both sides:
\(2 + 30=2x-30 + 30\)
\(32=2x\)
Divide both sides by \(2\):
\(x=\frac{32}{2}\)

Answer:

\(16\)