Question

8 fill in the blank 1 point find the value of x. (5x - 24)° (8x + 9)° x = -11

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 \(3\): \(x=\frac{-33}{3}=-11\)

Answer:

\(x = - 11\)