The exterior angles of pentagon are in the ratio 1:2:3:4:5:6 . Find all the interior angles of the pentagon. Share with your friends Share 0 Neha Sethi answered this Dear student The correct question is: The exterior angles of hexagon are in the ratio 1:2:3:4:5:6 . Find all the interior angles of the hexagon Let the exterior angles be 1x,2x,3x,4x,5x,6xWe know that sum of the exterior angles of pentagon=360°⇒1x+2x+3x+4x+5x+6x=360°⇒21x=360°⇒x=120°7So, exterior angles are:1x=120°72x=2×120°7=240°73x=3×120°7=360°74x=4×120°7=480°75x=5×120°7=600°76x=6×120°7=720°7So, interior angle corresponding to each exterior angle is given by: exterior angle+interior angle=180°⇒120°7+interior angle=180°⇒interior angle=180°-120°7=1140°7 and exterior angle+interior angle=180°⇒240°7+interior angle=180°⇒interior angle=180°-240°7=1020°7 exterior angle+interior angle=180°⇒360°7+interior angle=180°⇒interior angle=180°-360°7=900°7 exterior angle+interior angle=180°⇒480°7+interior angle=180°⇒interior angle=180°-480°7=780°7exterior angle+interior angle=180°⇒600°7+interior angle=180°⇒interior angle=180°-600°7=660°7exterior angle+interior angle=180°⇒720°7+interior angle=180°⇒interior angle=180°-720°7=540°7 Regards 2 View Full Answer Madhav answered this 540 0
