1: !
REASONS
1. m∠1 > m∠2
As ∠1 is the outer angle os the triangle ACD
So m∠1 = m∠2+m∠CAD.
{Esterior Angle Theorems}
so m∠1 > m∠2
2. m∠2 > m∠3
As ∠2 is the outer angle of the triangle ABC
so m∠2=m∠3+m∠ABC {Exterior Angle Theorem}
so m∠2 > m∠3
3.∠1 > ∠2
known from #1. m∠1 > m∠2
so ∠1 > ∠2