Question

The vertical angle of an isosceles triangle is 100° . Find it's base angles.

Answer 1

As we know a triangle is 180° 
If it is an isosceles triangle then 
the base angle will be (180° - 100°) = 80°.
Which means 80/2=40 degree

Answer 2

Heya!!

We know that an isosceles triangle has two sides of the same length and one side of different length.

The sum of the measures of the angles of the triangle is 180°.

We know the vertical angle of the triangle i.e., 100°.

Let the base angles be x and x since they have the same value.

So we get,
x+x+100=180° (by condition)
2x+100=180°
2x= 180-100
2x=80
x=80/2
x=40°

So the measure of both the base angles are x i.e., 40°.
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#Swati