Find the number of degrees in the measure of one of the base angles of an isosceles triangle, if the measure of the vertex angle is 36 degrees less than the sum of the measures of the base angles.

2 answers

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Sum = x + x = 2x,

Vertex angle = (2X - 36).

2X + (2X - 36) = 180,
4X - 36 = 180,
4X = 180 + 36 = 216,

X = 216 / 4 = 54 DEG.