Question

If the sum of measures of two angles of a hexagon is ${220}^{\circ }$, then the sum of the measures of the other four angles is

• A. ${800}^{\circ }$
• B. ${700}^{\circ }$
• C. ${600}^{\circ }$
• D. ${500}^{\circ }$

Answer 1

The correct option is D ${500}^{\circ }$

Total of internal angle of any hexagon is 720 degree
as hexagon has 6 sides, we know
(n-2)180 degrees
(6-2)180 degrees
4*180=720 degrees
If two angles measure 220 degree sum of other four angles will be
$({720}^0-{220}^0)={500}^0$