Question

find the missing information. diagram is not drawn to scale. all i care about is the answer & the steps.

Answer 1

Explanation:

If two triangles are congruent, then every corresponding part of one triangle is congruent to the other. Therefore,

`\begin{gathered} m<\text{DCB}=m<\text{BCA} \\ m<\text{DBC}=m<\text{CBA} \\ \text{Then,} \\ 5x=3y+11 \\ 3x+10=y+7 \end{gathered}`

Now, re-order the two equations and solve the system of linear equations:

`\begin{gathered} 5x+3y=11\text{ (1)} \\ 3x-y=-3\text{ (2)} \end{gathered}`

Isolate y from equation (2) and substitute it into equation (1):