Question

How many isosceles triangles can be drawn having its angles as ${53}^o,{63}^o$?

Answer 1

Givan angles are ${53}^0,{63}^0$

We know that sum of the angles of the triangle is ${180}^0$

Therefore, $53+63+x=180$

$⟹116+x=180$

$⟹x={64}^0$

Therefore, the angles of the triangle are ${53}^0,{63}^0,{64}^0$

Isosceles triangle has two equal angles.

Therefore, we cannot draw the isosceles triangle.