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3 problems match “angle sum of polygons”. Clear

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  1. Arithmetic sequence of pentagon angles ●○○○○ 10 ptsLet vv, ww, xx, yy, and zz be the degree measures of the five angles of a pentagon. Suppose v<w<x<y<zv<w<x<y<z and vv, ww, xx, yy, zz form an arithmetic sequence. Find the value of xx in degrees.
  2. Interior angle of a regular pentagon ●○○○○ 10 ptsFind the measure, in degrees, of an interior angle of a regular pentagon.
  3. Missing angles of a heptagon ●○○○○ 10 ptsFive angles of a heptagon have measures 80∘80^\circ, 85∘85^\circ, 175∘175^\circ, 90∘90^\circ and 140∘140^\circ. The other two angles are congruent. Find the measure of each of the other two angles, in degrees.