X and Z equal 72
Y equals 108.
This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
Answer:
Width = 30
Step-by-step explanation:
Area = 18x * 10y = 180xy
Length = 6xy
Width = ?
Since the shape of the office complex is a rectangle,
Area of a rectangle = length × width
180xy = 6xy × width
Width = 180xy / 6xy
Width = 30
The hypotenuse would be square root of 41
Since the side which measures 10 is a vertical projection of the hipotenuse x on a 20 degree angle:
10 = x*sin(20°)
x = 29.238044
Since we have to round to the nearest hundreth:
x = 29.24 m
