Answer:
Polygon is pentagon
Step-by-step explanation:
In a regular polygon each angle is equal.
In a regular polygon Each angle of polygon is given by (2n-4)90/n
where n is the number of sides of the polygon
given
An interior angle of a regular polygon has a measure of 108°.
(2n-4)90/n = 108
=> 180n - 360 = 108n
=> 180n-108n= 360
=> 72n = 360
=> n = 360/72 = 5
Thus, polygon has 5 sides
and we know that regular polygon which has 5 sides is called pentagon.
Thus, Polygon is pentagon
Supplementary means the 2 angles add up to 180 so...
124+(2x+4)=180
124+2x+4=180
124+2x+4-4=180-4
124+2x=176
124-124+2x=176-124
2x=52
2x/2=52/2
x=26
plug in and check
124+2x+4=180
124+2 (26)+4=180
124+52+4=180
176+4=180
180=180
2+2a 1x4a
------ ------
b b
LOL, idk if this is right, but it is how i think it should be solved
Cross multiplication
or multiplying by a number which goes in both rates
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm
Dimensions of the box are:-
length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm
