Question

The sum of all the angles of a triangle is _____ .

• A. ${180}^{\circ }$
• B. ${90}^{\circ }$
• C. ${270}^{\circ }$
• D. ${360}^{\circ }$

Answer 1

The correct option is A

${180}^{\circ }$

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

We have learned that for any polygon, the sum of its interior angles is

$(n-2)\times {180}^{\circ }$

where n is the number of sides

For the triangle, n = 3

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

= ${180}^{\circ }$