Question

If ADEF ALJK, what is the m4D?KDV12mz D=42Ftype your answer...301.

Answer 1

Given that:

we get that:

`\begin{gathered} m\angle D=m\angle L, \\ m\angle E=m\angle J, \\ m\angle F=m\angle K. \end{gathered}`

Now, recall that the interior angles of a triangle add up to 180°, therefore:

`\begin{gathered} m\angle D+m\angle E+m\angle F=180^(\circ), \\ m\angle D=180^(\circ)-m\angle E-m\angle F. \end{gathered}`

Substituting:

`\begin{gathered} m\angle F=42^(\circ), \\ m\angle E=m\angle J=81^(\circ), \end{gathered}`

in the previous equation, we get:

`m\angle D=180^(\circ)-42^(\circ)-81^(\circ)=57^(\circ).`

Answer:

`m\angle D=57^(\circ).`