SOLUTION: the measures of the vertex and base angles of an isosceles triangle are in a 4:3 ratio. If the vertex angle is the larger of these two angles, compute the measure, in degrees, of e

Algebra ->  Triangles -> SOLUTION: the measures of the vertex and base angles of an isosceles triangle are in a 4:3 ratio. If the vertex angle is the larger of these two angles, compute the measure, in degrees, of e      Log On


   

Question 926057: the measures of the vertex and base angles of an isosceles triangle are in a 4:3 ratio. If the vertex angle is the larger of these two angles, compute the measure, in degrees, of each angle of the triangle
Answer by lwsshak3(11628) About Me  (Show Source):
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the measures of the vertex and base angles of an isosceles triangle are in a 4:3 ratio. If the vertex angle is the larger of these two angles, compute the measure, in degrees, of each angle of the triangle
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let x=vertex angle
base angles=3x/4
x+2(3x/4)=180
x+3x/2=180
2x+3x=360
5x=360
x=72
3x/4=54
vertex=72˚
base angles=54˚