After bisecting an angle measuring 76, Heather has two angles. What is the measure of eachnew angle?

When an angle is bisected, two equal angles are created, and each of these new angles are equal to half the original angle.
So we have that:
[tex]\begin{gathered} \text{initial angle}=2\cdot\text{new angle} \\ 76=2\cdot\text{new angle} \\ \text{new angle}=\frac{76}{2}=38\degree \end{gathered}[/tex]So the measure of both new angles is 38°.