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

Sameera Liaynage asked Mar 23, 2023

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Sameera Liaynage asked Mar 23, 2023

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21 votes

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

Ary answered Mar 27, 2023

by Ary

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