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Usimov [2.4K]
3 years ago
5

In circle Y, what is m? 59° 67° 71° 118°

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0
If two chords<span> intersect inside a </span>circle<span>, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its </span>vertical angle<span>.

</span>\frac{arc \ SR+arc \ TU}{2}=63  \\ \\  55+arc \ TU=63*2  \\ \\55+arc \ TU=126\\\\ \ arc \ TU = 126-55=71^o<span>
</span>
masha68 [24]3 years ago
5 0

Answer:

arc\ TU=71\°

Step-by-step explanation:

we know that

The measure of <u>the interior angle</u> is the semi-sum of the arcs comprising it and its opposite

In this problem we have that

63\° =\frac{1}{2}(arc\ SR+arc\ TU)

we have

arc\ SR=55\°

substitute and solve for arc TU

63\° =\frac{1}{2}(55\°+arc\ TU)

126\° =(55\°+arc\ TU)

arc\ TU=126\°-55\°=71\°

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