An angle is bisected. Each resulting angle is 89o How big was the original angle?

1. Break Down the Problem

We know that when an angle is bisected, it is divided into two equal parts. In this case, we have each resulting angle measuring $89^\circ$. To find the original angle, we need to calculate the sum of these two angles.

2. Relevant Concepts

The concept we need to apply here is that the original angle $\theta$ is equal to the sum of the two bisected angles: $\theta = \text{Angle 1} + \text{Angle 2}$ Given that both resulting angles are equal, we can represent them as: $\theta = 89^\circ + 89^\circ$

3. Analysis and Detail

Now we can carry out the addition: $\theta = 89^\circ + 89^\circ = 178^\circ$

4. Verify and Summarize

We have calculated the original angle, and it is indeed the sum of the two equal angles. Thus, the original angle is verified.

Final Answer

The original angle is $178^\circ$.