Question

find the value of x.
(5x - 24)°
(8x + 9)°

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base - angles are equal. So, \(8x + 9=5x-24\)

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(8x - 5x+9=5x - 5x-24\), which simplifies to \(3x+9=-24\)
Subtract \(9\) from both sides: \(3x+9 - 9=-24 - 9\), so \(3x=-33\)
Divide both sides by \(3\): \(x=\frac{-33}{3}\)

Answer:

\(x = - 11\)