The sum of the interior angles of a polygon with n sides is (n – 2)180 °. Use this formula in the following problems.
a) What is the sum of the interior angles of a 10-sided polygon (decagon)?
b)If the interior angles of a polygon add up to 1260 °, how many sides does it have?
The angle measure of a regular n-sided polygon is
(180 - 360/n) °.
c) What is the angle measure of a regular 10-sided polygon (decagon)?
d) If the angle measure of a regular polygon is 170°, how many sides does it have?
time problems.
e) How many minutes in 5 days?
f) 510 hours is __________ days and ________ hours.
g) 6,502 seconds is ________ hours, ________ minutes and __________ seconds.
h) 6,502 hours is ________ weeks, ________days and __________ hours.
i) After a flu outbreak, a hospital has decided quarantine will last 66 hours. If it starts at 5:00 pm on Tuesday, give the day and time when it will be over.
Day: ________ time: ___________ a.m or p.m? __________
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The sum of the interior angles of a polygon with n sides is (n – 2)180 °. Use this formula in the following problems.
a) What is the sum of the interior angles of a 10-sided polygon (decagon)?
(10-2)*180 = 8 * 180 = 1440°
b)If the interior angles of a polygon add up to 1260°, how many sides does it have?
(n - 2)180 = 1260
180n - 360 = 1260
180n = 1620
n = 1620/180 = 9 sides.
The angle measure of a regular n-sided polygon is (180 - 360/n)°.
c) What is the angle measure of a regular 10-sided polygon (decagon)?
180 - 360/10 = 180 - 36 = 144°
d) If the angle measure of a regular polygon is 170°, how many sides does it have?
180 - 360/n = 170
10 - 360/n = 0
10 = 360/n
10n = 360
n = 36
time problems.
e) How many minutes in 5 days?
f) 510 hours is __________ days and ________ hours.
510/24 = 21 1/4
1/4 of a day is 6 hours, so 510 hours is 21 days and 6 hours.
g) 6,502 seconds is ________ hours, ________ minutes and __________ seconds.
6502 seconds is 108 minutes and 22 seconds
108 minutes is 1 hour and 48 minutes.
6,502 seconds is 1 hour, 48 minutes and 22 seconds.
h) 6,502 hours is ________ weeks, ________days and __________ hours.
6502 hours is 270 days and 22 hours.
270 days is 38 weeks and 4 days.
6,502 hours is 38 weeks, 4 days and 22 hours.
i) After a flu outbreak, a hospital has decided quarantine will last 66 hours. If it starts at 5:00 pm on Tuesday, give the day and time when it will be over.
66/24 is 2 days and 18 hours.
Two days after Tuesday is Thursday. 18 hours after 5:00 pm is 11:00 am the next day, so the quarantine ends 11:00 am on Friday.
Sorry, forgot to answer e)
e) How many minutes in 5 days?
5 days = 5 * 24 hours = 120 hours
120 hours * 60 = 7,200 minutes.
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