Question

1. cake nick has a slice of cake. he wants to cut it in half, bisecting the 46° angle formed by the straight edges of the slice. what will be the measure of the angle of each of the resulting pieces?

Explanation:

Step1: Recall angle - bisecting concept

To bisect an angle means to divide it into two equal parts.

Step2: Calculate the measure of each part

Let the original angle be $\theta = 46^{\circ}$. When we bisect it, the measure of each resulting angle $\alpha$ is given by $\alpha=\frac{\theta}{2}$. Substituting $\theta = 46^{\circ}$, we get $\alpha=\frac{46^{\circ}}{2}=23^{\circ}$.

Answer:

$23^{\circ}$