Question

solve for the variable.
x = type your answer...

Explanation:

Step1: Identify triangle type

The triangle has two equal angles (marked), so it's isosceles. Thus, the sides opposite equal angles are equal: $2x + 11 = 6x - 9$.

Step2: Solve for x

Subtract $2x$ from both sides: $11 = 4x - 9$.
Add 9 to both sides: $20 = 4x$.
Divide by 4: $x = 5$.

Answer:

5