Question

One angle of an isosceles obtuse-angled triangle is ${35}^{\circ }$. Find the measure of its obtuse angle in degrees.

Answer 1

One of the angles of obtuse-angled isosceles triangle is ${35}^{\circ }$, the other same angle will be ${35}^{\circ }$.

Let the obtuse angle be $x$.
Thus, sum of angles of a triangle $={180}^o$
${35}^o+{35}^o+x={180}^o$
$x={110}^{\circ }$
Therefore, the measure of each angle is: ${35}^{\circ },{35}^{\circ },{110}^{\circ }$