Question

Find the degree and radian measure of
exterior and interior angle of a regular
i) Pentagon
ii) Hexagon
iii) Septagon iv) Octagon​

Answer 1

Answer:

PENTAGON

TOTAL INTERIOR ANGLE = 2(NO. OF SIDE - 2)*90

= 2(5-2)*90

= 2*3*90

= 540 DEGREE

EXTERIOR ANGLE= 360/NO OF SIDE

=360/5

=72 DEGREE

ONE TERIOR ANGLE = 180-EXTERIOR ANGLE

=180-72

=108 DEGREE

HEXAGON

TOTAL INTERIO ANGLE= 2(6-2)*90

= 720 DEGREE

EXTERIOR ANGLE =360/6= 60

SEPTAGON

TOTAL INTERIOR ANGLE = 2(7-2)90

=900

EXTERIOR ANGLE= 360/7

OCTAGON

TOTAL INTERIOR ANGLE=2(8-2)*90

=1080

EXTERIOR ANGLE =360/8