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3 years ago

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

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

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)

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

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

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