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if an 80 - degree angle is bisected, then what is the measure of the tw…

Question

if an 80 - degree angle is bisected, then what is the measure of the two smaller angles created? (1 point)

Explanation:

Step1: Recall angle - bisection concept

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

Step2: Calculate the measure of each smaller angle

Let the original angle be $\theta = 80^{\circ}$. If it is bisected, the measure of each smaller angle $\alpha$ is given by $\alpha=\frac{\theta}{2}$. Substituting $\theta = 80^{\circ}$, we get $\alpha=\frac{80^{\circ}}{2}=40^{\circ}$.

Answer:

40