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Itssata
15.10.2020 •
Mathematics
Please help me with this!
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Ответ:
notice, on the left-side is the "inscribed angle theorem".
so, the angle at J is an inscribed angle, with an intercepted arcKI, which happens to be 116°, and therefore the inscribed angle is half that.
and since all interior angles in a triangle add up to 180°, then the angle at I is 52°, as shown there, however, that angle is also inscribed in the circle, and intercepting arcJK, so arcJK is twice as much as that angle, as shown there.