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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let's first identify the angle for which we are looking. The symbol $∠BOE$ 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 $55_{∘}.$ Also, the ray traveling through $E$ passes through $180_{∘}.$ By the Protractor Postulate, the measure of $∠BOE$ is the difference between $180_{∘}$ and $55_{∘}.$ $m∠BOE:180_{∘}−55_{∘}=125_{∘}$ Now, we can classify the angle using its measure.

Type | Measure |
---|---|

Acute | $0_{∘}<m<90_{∘}$ |

Right | $m=90_{∘}$ |

Obtuse | $90_{∘}<m<180_{∘}$ |

Straight | $m=180_{∘}$ |

Because our angle is $125_{∘},$ we know that it is obtuse.