Question

1-6 basic constructions
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1. if an angle is bisected what is true about the two angles (∠1 & ∠2)

m∠1 ≠ m∠2
∠1 ≅ ∠2
m∠1 + m∠2 = 0°
are ⊥

Explanation:

Step1: Recall angle - bisection definition

An angle bisector divides an angle into two equal - measure angles.

Step2: Analyze options

If an angle is bisected, the measure of the two resulting angles $\angle1$ and $\angle2$ are equal, which means $\angle1\cong\angle2$ (congruent angles have equal measures). Option 1 ($m\angle1
eq m\angle2$) is incorrect as the angles are equal in measure after bisection. Option 3 ($m\angle1 + m\angle2=0^{\circ}$) is incorrect because the sum of two non - zero angles (resulting from bisecting a non - zero angle) is not zero. Option 4 ($\angle1$ and $\angle2$ are perpendicular) is incorrect as there is no indication of a right - angle relationship when an angle is bisected.

Answer:

$\angle1\cong\angle2$