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Secondary 1 | Maths
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Help Susie! Anyone can contribute an answer, even non-tutors.
please help to find the unknown, thank you
Date Posted: 4 years ago
Views: 226
polygon ABCDEF is a irregular 6-sided polygon.
the formula for
the sum of the interior of a polygon is:
(n-2) x 180 deg , where n is the no. of sides.
note:
angle A = 180-2b
angle B = 180-4b
angle C = c deg = 180-3b
angle D = angle E = angle F = 180-b
so the sum of angles is
(180-b)x3 + 180-3b + 180-4b + 180-2b = (6-2)x180
(180-b)x3 + 180-3b + 180-4b + 180-2b = 720
1080 - 12b = 720
b deg = 30 deg
so b = 30
c deg = 180- 90 = 90 deg
so c = 90
...
the formula for
the sum of the interior of a polygon is:
(n-2) x 180 deg , where n is the no. of sides.
note:
angle A = 180-2b
angle B = 180-4b
angle C = c deg = 180-3b
angle D = angle E = angle F = 180-b
so the sum of angles is
(180-b)x3 + 180-3b + 180-4b + 180-2b = (6-2)x180
(180-b)x3 + 180-3b + 180-4b + 180-2b = 720
1080 - 12b = 720
b deg = 30 deg
so b = 30
c deg = 180- 90 = 90 deg
so c = 90
...
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