Question

an angle is bisected, forming two new angles. if the original angle had a measure of 18°, what is the measure of each new angle?

Explanation:

Step1: Recall the definition of angle - bisector

An angle bisector divides an angle into two equal parts.

Step2: Calculate the measure of each new angle

Let the measure of the original angle be \( \theta = 18^{\circ}\). If the angle is bisected, and let the measure of each new angle be \(x\). Then, by the property of angle - bisector \(x=\frac{\theta}{2}\). Substitute \(\theta = 18^{\circ}\) into the formula: \(x=\frac{18^{\circ}}{2}\).

Answer:

\(9\)