Question

The following triangle is isosceles. Write an equation and use it to solve for x.

Options:

x = 3
x = 2
x = 6
x = 4

Answer 1

The answer to the question is x=6

Answer 2

x = 6

Explanation:

Since the sides are congruent (definition of isosceles triangle), the angles must also be congruent.

Step 1: Set up equation

4x + 20 = 8x - 4

Step 2: Solve for x

1. Subtract 4x on both sides: 20 = 4x - 4
2. Add 4 to both sides: 24 = 4x
3. Divide both sides by 4: 6 = x
4. Rewrite: x = 6