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3 years ago

15

What is the measure of Arc A U?

1 answer:

elixir [45]3 years ago

4 0

Answer:

50°

Step-by-step explanation:

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

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PIT_PIT [208]

In the smaller triangle, let $y$ be the length of the smallest leg. Then the smallest leg in the larger triangle is $14-y$ .

Within the scope of the smaller triangle, we have $y$ such that

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Then within the larger the triangle, we would have

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