Answer:
A1) = (n-2) x 180
= (8 - 2) x 180
= 6 x 180
= 1080°
The octagon’s sum of the interior angles is 1080°.
A2) = (n-2) x 180
= (15-2) x 180
= 13 x 180
= 2340°
The 15-sided polygon’s sum of the interior angles is 2340°.
B1) = (n-2) x 180 / n
= (12-2) x 180 / 12
= 10 x 180 / 12
= 1080 / 12
= 90°
The measure of each interior angle of dodecagon is 90°.
B2) = (n-2) x 180 / n
= (23-2) x 180 / 23
= 21 x 180 / 23
= 3780 / 23
= 164.347826087°
The measure of each interior angle of a 23-sided polygon is 164.347826087°.
C1) 180 (n-2) = 2520
180n - 360 = 2520
180n = 2520 + 36
180n = 2880
n = 16
The number of sides of this polygon is 16.
C2) 180 (n-2) = 1440
180n - 360 = 1440
180n = 1440 + 360
180n = 1800
n = 10
The number of sides if this polygon is 10, or decagon.
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Verified answer
Answer:
A1) = (n-2) x 180
= (8 - 2) x 180
= 6 x 180
= 1080°
The octagon’s sum of the interior angles is 1080°.
A2) = (n-2) x 180
= (15-2) x 180
= 13 x 180
= 2340°
The 15-sided polygon’s sum of the interior angles is 2340°.
B1) = (n-2) x 180 / n
= (12-2) x 180 / 12
= 10 x 180 / 12
= 1080 / 12
= 90°
The measure of each interior angle of dodecagon is 90°.
B2) = (n-2) x 180 / n
= (23-2) x 180 / 23
= 21 x 180 / 23
= 3780 / 23
= 164.347826087°
The measure of each interior angle of a 23-sided polygon is 164.347826087°.
C1) 180 (n-2) = 2520
180n - 360 = 2520
180n = 2520 + 36
180n = 2880
n = 16
The number of sides of this polygon is 16.
C2) 180 (n-2) = 1440
180n - 360 = 1440
180n = 1440 + 360
180n = 1800
n = 10
The number of sides if this polygon is 10, or decagon.
Like and Brainliest if this helps!