Question

the vertical angle of and isoceles ∆ is 100° find its base

Answer 1

Let its base angles be x.

In traingle Abc,
100°+x+x= 180° (Asp)
100°+ 2x= 180°
2x = 180°-100°
2x=80°
x =80°/2
x= 40°

therefore its base angles will be 40° each.


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Answer 2

The bases will be of 40° on each side.

Because in an isosceles triangle the angles opposite to equal sides are equal.

Let the equal angles be X.

Therefore, 100+2x=180

=2x= 180-100

=X= 80/2=40