Question

State if the triangles are possible with the following angles. ${40}^{\circ }$, ${130}^{\circ }$and ${20}^{\circ }$

Answer 1

Step: Check whether triangle is possible

We know that sum of three angles of a triangle must be
${180}^{\circ }$.

Here, the sum of the given three angles is

${40}^{\circ }$ + ${130}^{\circ }$+${20}^{\circ }$=${190}^{\circ }$.

Since the sum of three angles of a triangle is not ${180}^{\circ }$, the triangle is not possible.