Question

fill in the blank 4 points. use the diagram to find the value of x. m∠adc = 153°

Explanation:

Step1: Set up equation based on angle - addition

Since $\angle ADC=\angle ADB+\angle BDC$, we have $153 = 7x+(11x + 9)$.

Step2: Combine like - terms

$153=7x + 11x+9$, which simplifies to $153 = 18x+9$.

Step3: Isolate the variable term

Subtract 9 from both sides: $153−9=18x$, so $144 = 18x$.

Step4: Solve for x

Divide both sides by 18: $x=\frac{144}{18}=8$.

Answer:

$8$