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7-80.

Consider the triangle below.
Triangle labeled as follows: bottom side, x, right side, 3.5, left bottom angle, 33 degrees, right bottom angle, 64 degrees.

  1. Solve for in the diagram.

    Once you have determined the measure of the missing angle, use the Law of Sines.

  1. What is the area of the triangle?

    Draw in a height, which forms two right triangles, then use trigonometry to find the height of the triangle.