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Themeasureof the vertex angle of the giventriangleis 80°.What is an isosceles triangle?Anisoscelestriangle is a triangle having two sides of equal length and baseanglesare equal.Given that, theratioof the measure of the vertexangleto the base angle of theisoscelestriangle is 8:5.Let theanglesbe 5x, 5x and 8x5x+5x+8x = 180°18x = 180°x = 10°Therefore,angleare 50°, 50° and 80°.Hence, themeasureof the vertex angle of the giventriangleis 80°.For more references onisoscelestriangle, click;brainly.com/question/2456591#SPJ2...