In an isosceles triangle the base angles are equal

Asked by admin @ 13/08/2021 in Math viewed by 378 People

in an isosceles triangle,the base angles are equal and the vertex angle is twice the base angle.find the measure of each angle.what typevofvtriangle is it?

Answered by admin @ 13/08/2021

Since the sum of the interior angles of any triangle adds up to
180
∘
and also the base angles of an isosceles triangle are equal,we may let the base angles be
x
, then the vertex angle is
2
x
.
∴
x
+
x
+
2
x
=
180
∘
.
∴
x
=
45
∘
.
Therefore the vertex angle is
90
∘
.

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