Calculating alpha. Let it be a.
Let the three equal lengths be 1 units each.
b = 180-30-7.5
b = 142.5 °
b is angle AKC.
Notice.
Angle CAK = Angle KBC = 7.5°
(1/sin30) = (c/sin7.5)
c = 0.26105238444 units.
c is CK.
Calculating a.
(0.26105238444/sin7.5) = (1/sind)
d = 30°
e = 180-30
e = 150°
Therefore, a (alpha) is;
a+b+e = 360
a = 360-142.5-150
a = 67.5°
We appreciate you contacting us. Our support will get back in touch with you soon!
Have a great day!
Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support