The diagram shows a rectangle that has been formed by bordering an isosceles right triangle with three other right triangles, one of which has a 60° angle as shown. Find the sizes of the other angles in the figure. By assigning length to all of the segments, you should be able to work out values for the sine, cosine, and tangent of a 75° angle, without using a calculator trigonometric functions (except to check your work). 60

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