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$0_{∘}<m∠A<90_{∘} $ After we bisect $A,$ the resulting angles are identical and these angles will have a measure which is half as big as $m∠A$. If $∠B$ is one of the smaller angles, then the following is true. $20_{∘} <m∠B<290_{∘} ⇒0_{∘}<m∠B<45_{∘} $ Thus the two smaller angles will be acute.

b

c

$90_{∘}<m∠A<180_{∘}. $ If we bisect $A,$ the angle is split into two identical angles that both have a measure half of $m∠A.$ If we call one of the smaller angles $∠B,$ then its measure will be in the following range. $290_{∘} <m∠B<2180_{∘} ⇒45_{∘}<m∠B<90_{∘} $ An angle in that interval is acute.

d

$2180_{∘} =90_{∘}.$ An angle with the measure $90_{∘}$ is called a right angle.