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

Question

asked Mar 18, 2022 133k views

1 Answer

Akhanubis · Answer 1 · 2022-03-25T08:24:22+0000

Answer:

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

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)

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

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