Question

b. 7. In the diagram, DC bisects ZBDA. Find mZADC. B C С (7x - 19) (9x - 37)° D A a. 28° c. 44° b. 88° d. 220

Answer 1

Step-by-step explanation:

If DC bisects
`7x-19=9x-37`Solving for x:

`\begin{gathered} 7x-19+37=9x-37+37 \\ 7x+18=9x \\ 7x-7x+18=9x-7x \\ 18=2x \\ 2x=18 \\ x=(18)/(2)=9 \end{gathered}`

Now that we have x we can find the measure of angle ADC:

`\begin{gathered} m\angle ADC=9x-37 \\ \text{replacing x = 9} \\ m\angle ADC=9\cdot9-37=81-37=44 \end{gathered}`

Answer:

The correct is c. 44º