Question

Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC

Answer 1

Answer:

$\huge \purple {\boxed { m\angle C = 47\degree}}$

$\huge \red {\boxed { \widehat{BC}=96\degree}}$

Step-by-step explanation:

By inscribed angle theorem:

$m\angle C = \frac{1}{2} m(\widehat{AD})$

$\therefore m\angle C = \frac{1}{2}\times 94\degree$

$\huge \purple {\boxed {\therefore m\angle C = 47\degree}}$

Again by inscribed angle theorem:

$m\angle A = \frac{1}{2} m(\widehat{BC})$

$\therefore 48\degree = \frac{1}{2} m(\widehat{BC})$

$\therefore 48\degree\times 2 = m(\widehat{BC})$

$\huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}}$