Question

find the value of x. x = (type an integer or a fraction. do not include the degree symbol in your answer.) 123° (3x + 6)°

Explanation:

Step1: Identify angle - relationship

The two given angles are vertical angles, and vertical angles are equal. So we set up the equation $3x + 6=123$.

Step2: Solve for x

Subtract 6 from both sides of the equation: $3x=123 - 6$. So $3x = 117$.

Step3: Isolate x

Divide both sides of the equation $3x = 117$ by 3. We get $x=\frac{117}{3}=39$.

Answer:

39