( 1)

∵∠ 1=60? ,∠ 1+∠2=∠ 1+∠3= 180?

∴∠2=∠3= 120?

∴∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠∠873

∴∠4=60?

(2)

∵∠ 1+∠3= 180? ,2∠3=3∠ 1

∴∠3=3/5× 180? = 108? ,∠ 1=2/5× 180? =72?

∠∠2 and ∠3 are antipodal angles, ∠4 and ∠ 1 are antipodal angles.

∴∠2=∠3= 108? ,∠4=∠ 1=72?

Namely ∠2= 108? ,∠3= 108? ,∠4=72?