Question

if ABCDEF is a regular hexagon find the angles of ∆ ABC

Answer 1

Answer and explanation in attachment.

Answer 2

we know that
asp of hexagon is
sum of all angles is 720


since it's a regular hexagon
each angle=720/2 =120

so angle b = 120

now in trABC


angle(A+B+C)=180. (asp of tri).
angle(A+120+C)=180
angle (A+C)=60
angle(A+A)=60. (side AB=BC)
angle A =30


thus

angle B =120
angle A=30
angle C=30