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5-47.

Determine the measures of and at right. Justify each conclusion using geometric relationships.

Remember that the base angles of an isosceles triangle are congruent.
Start by determining the value of .

Triangle with horizontal base marked with 1 arrow, angles labeled, left bottom, y, top, 28 degrees, horizontal segment marked with 1 arrow, in the triangle, creates a smaller triangle on top, with left & right sides, each marked with 2 tick marks, where segment meets right side of triangle, angles labeled, on top right, x, on bottom right, z.