Secants and Angles

An angle with the vertex ON the circle can look like this: vertex on the circle Find the angle measures 120 ^{o}º º 200 ^{o}The vertex of an angle can be INSIDE the circle but NOT on the center Center The vertex of an angle can be INSIDE the circle but NOT on the center Center not center To find the angle, add the arc of the angle and the arc opposite that arc add those arcs and divide by 2 40 ^{o}160 ^{o}160 + 40 = 200 ÷ 2 = º º Determine the angle measures marked as "x" and "y". x = º 10 ^{o}6 ^{o}x100 ^{o}y = º y10 ^{o}If the vertex of the angle is OUTSIDE the circle subtract the two arcs inside the angle then divide by 2 115 ^{o}35 ^{o}xx = º Find the angle measures 200 ^{o}60 ^{o}º 180 ^{o}70 ^{o}º Solve for the missing arc measure. 260 ^{o}80º º |

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