The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5. Find each angle of the triangle.
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It is given that the ratio between a base angle and the vertical angle of an isosceles triangle =1:4
Consider base angle=x
Vertical angle =4x
In a triangle
x+x+4x=180
∘
By further calculation
6x=180
∘
x=180/6=30
∘
Therefore, each base angle =x=30
∘
and vertical angle=4x=4×30
∘
=120
∘
.
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