Question

May I please get help with a? I have tried multiple times to find the right answers but still couldn’t.

Answer 1

Given:

`\begin{gathered} m\angle A=22\degree;m\angle B=50\degree \\ m\angle D=22\degree\text{ ; m}\angle E=50\degree \end{gathered}`

In a triangle ABC,

Sum of the angles in a triangle is 180 degree

`\begin{gathered} \angle A+\angle B+\angle C=180 \\ 22+50+\angle c=180 \\ \angle C=180-72 \\ \angle C=108 \end{gathered}`

In a triangle DEF,

`\begin{gathered} \angle D+\angle E+\angle F=180 \\ 22+50+\angle F=180 \\ 72+\angle F=180 \\ \angle F=180-72 \\ \angle F=108 \end{gathered}`