<prompt> Tambua pembe iliyoundwa na pointi A, B na C.A -2, 3B 1, -1C 4, 0  <response>: We can calculate the angle formed by points A, B, and C using the dot product formula. Lets assign points A, B, and C their respective coordinates as point A Ax, Ay, point B Bx, By and point C Cx, Cy.Ax -2, Ay 3Bx 1, By -1Cx 4, Cy 0. First, we need to find the vectors BA and BC, formed by the corresponding points they connect:Vector BA -3, 4Vector BC 3, 1Then we can apply the dot product formula to determine the angle formed by the vectors:BA BC BABCcosθθ acosBA BC BABCThe dot product is calculated as the sum of the product of the corresponding components of the vectors:BA BC -33 41 -5The magnitudes of the vectors are calculated as the square root of the sum of the squares of its components:BA sqrt-32 42 5BC sqrt32 12 sqrt10θ acos-55sqrt10 1.76 radians or approximately 101 degrees.Therefore, the angle formed by points A, B and C is approximately 101 degrees. 