Question

Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F

Answer 1

Answer:

11). $m(\widehat{DE})$ = 90°

12). $m(\widehat{AEC})$ = 212°  

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, $m(\widehat{AB})$ = 180°

    and $m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$

    Therefore, $m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$ = 180°

    32° + $m(\widehat{DE})$ + 58° = 180°

    $m(\widehat{DE})$ = 180° - 90°

                = 90°

12. Since, $m(\widehat{AD})=m(\widehat{BC})$ = 32°

                 $m(\widehat{AEC})$ = $m(\widehat{AB})+m(\widehat{BC})$

                                = 180° + 32°

                                = 212°