Question

1. 23x - 17 15x + 7 7. 9x - 7 74°

Explanation:

Step1: Assume triangle is isosceles

If the triangle is isosceles, the two given sides are equal. Set up the equation $23x - 17=15x + 7$.

Step2: Move like - terms

Subtract $15x$ from both sides: $(23x-15x)-17=(15x - 15x)+7$, which simplifies to $8x-17 = 7$.

Step3: Isolate the variable term

Add 17 to both sides: $8x-17 + 17=7 + 17$, resulting in $8x=24$.

Step4: Solve for x

Divide both sides by 8: $\frac{8x}{8}=\frac{24}{8}$, so $x = 3$.

Answer:

$x = 3$