Mathematics Question and Solution
Let the side length of the ascribed pentagon be 1 unit.
a = ⅕*180(5-2)
a = 108°
a is the single interior angle of the regular pentagon.
b = ½(a)
b = 54°
cos54 = c/1
c = 0.5877852523 units.
sin54 = y/0.5877852523
y = 0.4755282581 units.
Calculating x.
d = 108-(½(180+108)
d = 108-36
d = 72°
e = 180-72-54
e = 180-126
e = 54°
sin54 = f/1
f = 0.8090169944 units.
It implies;
(x/sin72) = (0.8090169944/sin54)
x = 0.9510565163 units.
Therefore;
x:y is;
0.9510565163:0.4755282581
= 0.9510565163÷0.4755282581
= 2:1
