the ratio between a base angle and the vertical angle of an isoceles triangle is 1:4 find each angle

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Solution

Let the base angles be x and x.
Given the ratio between a base angle and the vertical angle of an isoceles triangle is 1:4
So the vertex angle will be 4x.
We know that the sum of 3 angles in a triangle is 180.
So x+x+4x=180
6x=180
x=30
So the angles are x,x and 4x.
So, 30, 30 and 120

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