Answer:
[tex] m\widehat{AB} =55 \degree[/tex]
Step-by-step explanation:
[tex] \because m\angle APC=m\angle DPE[/tex]
(Vertical angles)
[tex] \therefore m\widehat {ABC} =m\widehat {DE} [/tex]
(Measure of minor arc is equal to the measure of it's corresponding central angle)
[tex] \therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE} [/tex]
[tex]\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree[/tex]
