Question

The sum of the measures of all the angles of a pentagon are :

• A. ${135}^{\circ }$
• B. ${540}^{\circ }$
• C. ${720}^{\circ }$
• D. none of these

Answer 1

The correct option is B ${540}^{\circ }$

To find the sum of the interior angles of a pentagon, divide it up into triangles.There are three triangles. Because the sum of the angles of each triangle is 180 degrees.

We get $=180\times 3=540°$