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3 years ago

For* 15-16 find the number of sides if a polygon has the given measure for each interior angle,

Mathematics

1 answer:

salantis [7]3 years ago

3 0

Answer:

15. d) 36

16. b) 20

17. d) 180

18. b) 50

19. c) 360

20. b) 60

Step-by-step explanation:

To find the number of sides a polygon has giving an interior angle, use the equation:

(number of sides - 2)*180/(number of sides) = measure of interior angle

15. (n = number of sides)

((n-2)*180)/n = 170

180n-360 = 170n

10n = 360

n = 36 (d)

16. (n = number of sides)

((n-2)*180)/n = 162

180n-360 = 162n

18n = 360

n = 20 (b)

17. The sum of the interior angles of a triangle is always 180 (d)

18. 180-60-70 = 50 (b)

19. The sum of the interior angles of a quadrilateral is always 360 (c)

20. 360-120-90-90 = 60 (b)

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