Question

What is the measure of Arc A U?

Answer 1

Answer:

50°

Step-by-step explanation:

$m(arc ADQ)=2 \times \angle AUQ \\ \hspace{64 pt}= 2\times \: 111 \degree \\ \hspace{64 pt}= 222 \degree \\ m(arc ADQ) + m(arc QU) \\+m(arc AU) = 360° \\ \therefore \: 222 \degree + 88 \degree +m(arc AU) = 360° \\ \therefore \: 310 \degree +m(arc AU) = 360° \\ \therefore \: m(arc AU) = 360° - 310 \degree \\ \huge \red{ \boxed{\therefore \: m(arc AU) = 50°}}$