Question

May I please get help with this. I have tried multiple times but still could not find the right answers for them.

Answer 1

From the given figure,

Sum of the angles of a triangle is 180 degrees.

$\begin{gathered} In\text{ }\Delta\text{ABC,} \\ \angle A\text{ + }\angle B\text{ + }\angle C\text{ = 180} \\ 41\text{ + 56 + }\angle C\text{ = 180} \\ \end{gathered}$

Therefore,

$\begin{gathered} \angle C\text{ = 180 - ( 41 + 56 )} \\ \angle C\text{ = 180 - 97} \\ \angle C\text{ = 83} \end{gathered}$

And ,

$\begin{gathered} In\text{ }\Delta DEF, \\ \angle D\text{ + }\angle E\text{ + }\angle F\text{ = 180} \\ 24\text{ + 31 + }\angle F\text{ = 180} \\ \end{gathered}$

Therefore,

$\begin{gathered} \angle F\text{ = 180 - 55} \\ \angle F\text{ = 125} \end{gathered}$