Question

The sum of all the angles of a triangle is

• A. ${360}^{\circ }$
• B. ${90}^{\circ }$
• C. ${180}^{\circ }$
• D. ${150}^{\circ }$

Answer 1

The correct option is C ${180}^{\circ }$

Factual: Sum of all the angles of a triangle is ${180}^{\circ }$.

We have learned that for any polygon, sum of its interior angles is = $(n-2)\times {180}^{\circ }$ [where n is the number of sides]

For a triangle, n = 3

So, sum of all interior angles = $(3-2)\times {180}^{\circ }={180}^{\circ }$