Question

question 5 (1 point) using the following diagram and the information provided, find the indicated angle measure. m∠adc = 118° m∠adb = ________ blank 1:

Explanation:

Step1: Set up equation

Since $\angle ADC=\angle ADB+\angle BDC$, we have $(11x - 7)+(5x - 3)=118$.

Step2: Combine like - terms

Combining the $x$ terms and the constant terms on the left - hand side gives $11x+5x-7 - 3=118$, which simplifies to $16x-10 = 118$.

Step3: Solve for $x$

Add 10 to both sides of the equation: $16x-10 + 10=118 + 10$, so $16x=128$. Then divide both sides by 16: $x=\frac{128}{16}=8$.

Step4: Find $\angle ADB$

Substitute $x = 8$ into the expression for $\angle ADB$ which is $11x-7$. So $m\angle ADB=11\times8-7=88 - 7=81$.

Answer:

$81$