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find the value of x. 5. 81° (3x + 6)°

Question

find the value of x. 5. 81° (3x + 6)°

Explanation:

Step1: Identify angle - relationship

The two angles are vertical angles, and vertical angles are equal. So we set up the equation $3x + 6=81$.

Step2: Solve the equation for $x$

Subtract 6 from both sides: $3x=81 - 6$. So $3x = 75$.

Step3: Isolate $x$

Divide both sides by 3: $x=\frac{75}{3}$.

Answer:

$x = 25$