Question

Is the triangle with angles $\angle A=5°,\angle B=170°,\angle C=5°$ possible? Give reason for your answer.

Answer 1

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

So, if the triangle having three angles will obtain the sum of angles equal to $180°$, then the triangle is possible, otherwise not.

Checking the sum of given angles:

$$\begin{gathered} \Rightarrow \angle A+\angle B+\angle C \\ \Rightarrow 5°+170°+5° \\ \Rightarrow 180° \end{gathered}$$

So, the sum of the given angles is equal to $180°$.

Hence, the triangle with the given angles is possible.