Question

In an isosceles triangle, the bass angle is twice as large as vertex angle. Find the angles of the triangle.

Answer 1

Let the equal angles be x, x. Vertex angle $=$A

$x=2A$

So $x+x+A={180}^o$

(Angle sum property)

$2x+A={180}^o$

$4A+A={180}^o$

$5A={180}^o$

$A=\frac{{180}^o}{5}={36}^o$

$x=2A=72$

Angles of triangle

$={36}^o,{72}^o,{72}^o$.