Question

. In the given figure the ratio between the vertical angle and a base angle of an isosceles
triangle is 4:3. Find the greatest angle of the triangle.

Answer 1

Answer:

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

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By further calculation

6x=180

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x=180/6=30

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Therefore, each base angle =x=30

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and vertical angle=4x=4×30

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=120

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