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Question

In an isosceles triangle, if the third angle is greater than or equal to 80 then the maximum value each base angle can have is

A
100
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B
50
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C
40
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D
80
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Solution

The correct option is B 50
Since our triangle is an isosceles triangle, its base angles will be equal.
Let each base angle of the triangle be x.
To acsertain the maximum value for x we should know the minimum value of the third angle.
The minimum value for the third angle is 80.(Given)
So using the angle sum propery:
80+x+x=180
80+2x=180
2x=18080
2x=100
x=50

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