Question

What is the arc measure of minor arc AB in degrees?

Answer 1

Answer:

$m\widehat{AB} =55 \degree$

Step-by-step explanation:

$\because m\angle APC=m\angle DPE$

(Vertical angles)

$\therefore m\widehat {ABC} =m\widehat {DE}$

(Measure of minor arc is equal to the measure of it's corresponding central angle)

$\therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE}$

$\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree$