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. Here, the two angles \((8x + 9)^{\circ}\) and \((5x-24)^{\circ}\) are equal. So, we can set up the equation \(8x + 9=5x-24\).

Step2: Solve the linear equation

Subtract \(5x\) from both sides of the equation:
\(8x-5x + 9=5x-5x-24\)
\(3x+9=-24\)
Subtract \(9\) from both sides:
\(3x+9 - 9=-24 - 9\)
\(3x=-33\)
Divide both sides by \(3\):
\(x=\frac{-33}{3}\)

Answer:

\(x = - 11\)