Question

Is the triangle with angles $\angle A=50°,\angle B=60°,\angle C=90°$ possible? Give reason for your answer.

Answer 1

As we know that the sum of the angles of a triangle is equal to $180°$.

Checking the sum of given angles:

$$\begin{gathered} \Rightarrow \angle A+\angle B+\angle C \\ \Rightarrow 50°+60°+90° \\ \Rightarrow 200°\ne 180° \end{gathered}$$

So, the sum of the given angles is not equal to $180°$.

Hence, the triangle with the given angles is not possible.