Answer:
11). [tex]m(\widehat{DE})[/tex] = 90°
12). [tex]m(\widehat{AEC})[/tex] = 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since, [tex]m(\widehat{AB})[/tex] = 180°
and [tex]m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})[/tex]
Therefore, [tex]m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})[/tex] = 180°
32° + [tex]m(\widehat{DE})[/tex] + 58° = 180°
[tex]m(\widehat{DE})[/tex] = 180° - 90°
= 90°
12. Since, [tex]m(\widehat{AD})=m(\widehat{BC})[/tex] = 32°
[tex]m(\widehat{AEC})[/tex] = [tex]m(\widehat{AB})+m(\widehat{BC})[/tex]
= 180° + 32°
= 212°
