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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 .

Two triangles one embedded in the other share a common vertex, 28 degrees, and have parallel bases. The left and right sides of the triangle are marked with 2 tick marks. The left angle of the larger triangle is y. The right angle of the smaller triangle is x. Adjacent to angle, x, is angle, z, on the opposite side of the internal parallel line.