Question

6.
104
(9x - 25)
8
x =

Explanation:

Step1: Find the sum of the two equal angles

The sum of angles in a triangle is \(180^{\circ}\).
Let the two equal angles be \(A\) and \(B\).
\(A + B+104^{\circ}=180^{\circ}\)
\(A + B=180^{\circ}- 104^{\circ}=76^{\circ}\)
Since the triangle is isosceles (two sides are equal), \(A = B\).
So each of the equal angles \(=\frac{76^{\circ}}{2} = 38^{\circ}\)

Step2: Solve for \(x\)

We know that one of the equal angles is \((9x - 25)^{\circ}\)
Set up the equation \(9x-25 = 38\)
Add \(25\) to both sides: \(9x=38 + 25\)
\(9x=63\)
Divide both sides by \(9\): \(x=\frac{63}{9}=7\)

Answer:

\(7\)