Exterior angles always add up to 360 degrees so for 30-gon each exterior angles is 12 degrees (360/30)
To get the interior angles you subtract 180 from 12 to get 168 degrees
Answer by JKismyhusbandbae: expression 2 and expression 1
Look at the four expressions. Simplify any expressions that can be simplified to see which two are equivalent.
8v × 30v = ( 8 × 30) × ( v × v) = ![240v^2](https://tex.z-dn.net/?f=240v%5E2)
Since expression 2 can be simplified to expression 1, they are equivalent.
This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors
![\sqrt{35}](https://tex.z-dn.net/?f=%5Csqrt%7B35%7D)
This cannot be simplified any further.
Have a good one!