wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In a convex hexagon prove that the sum of all interior angle is equal to the twice the sum of its exterior angle formed by producing the sides in the same order

Open in App
Solution

Sol:
In a hexagon number of sides = 6.

∴ Sum of the interior angles of a hexagon = (2n - 4) x 90°

= ( 2x 6 - 4) x 90° = 8 x 90° = 720°. -------(1)

Sum of the exterior angles of a hexagon = 360°.

Given that 2 times the sum of the exterior angles of a hexagon i.e 2 x 360°.= 720° -----(2)

from (1) and (2) we get

∴ In a convex hexagon, the sum of all interior angle is equal to twice the sum of its exterior angles.

flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle Sum Property for Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon