Answer
Triangle cannot be constructed if thesum of two angles of a triangle is equal to\[{{180}^{\circ }}\].
Work Step by Step
According to angle sum property, the sum of all the angles of a triangle is\[{{180}^{\circ }}\]. Consider the situation where is given that two angles of the triangle are equal to\[{{90}^{\circ }}\]each.
\[\begin{align}
& m\angle 1+m\angle 2+m\angle 3={{180}^{\circ }} \\
& m\angle 1+{{90}^{\circ }}+{{90}^{\circ }}={{180}^{\circ }} \\
& m\angle 1+{{180}^{\circ }}={{180}^{\circ }}
\end{align}\]
Here, the sum of two angles is\[{{180}^{\circ }}\]. Therefore, the triangle cannot be constructed as the sum of three angles should not exceed measurement of\[{{180}^{\circ }}\].
