Question

1. (4x + 7)° (9x - 33)°

Explanation:

Step1: Identify isosceles - triangle property

In an isosceles triangle, the base - angles are equal. The given triangle has two equal - length sides (indicated by the hash marks), so the two non - vertical angles are equal. Set up the equation: $4x + 7=9x−33$.

Step2: Solve the equation for x

Subtract $4x$ from both sides: $7 = 9x−4x−33$, which simplifies to $7 = 5x−33$.

Step3: Isolate the variable term

Add 33 to both sides: $7 + 33=5x$, so $40 = 5x$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{40}{5}=8$.

Answer:

$x = 8$