The sum of the 3 angles of a triangle is 180 degrees. In triangle PQR, the largest angle is twice the size of the smallest angle. The remaining angle is 16 degrees larger than the smallest. Write and solve an equation to find the size of the smallest angle in degrees.

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  1. just put the facts into symbols. Let x be the smallest angle. So, you have

    x + (2x) + (x+16) = 180
    x = 41

    so, the angles are 41, 57, 82

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