Describing Angles

Let's first identify the angle for which we are looking. The symbol $\angle BOE$ refers to the angle found between the rays that start at $O$ and pass through the points $B$ and $E.$

Examining the protractor, we can see that the ray traveling through $B$ passes through $55^{\circ }.$ Also, the ray traveling through $E$ passes through $180^{\circ }.$ By the Protractor Postulate, the measure of $\angle BOE$ is the difference between $180^{\circ }$ and $55^{\circ }.$ $$m\angle BOE\text{:}180^{\circ }-55^{\circ }=125^{\circ }$$ Now, we can classify the angle using its measure.

Because our angle is $125^{\circ },$ we know that it is obtuse.