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classify the angle with the given measure as acute, obtuse, right, or s…

Question

classify the angle with the given measure as acute, obtuse, right, or straight. m∠a = 115° acute obtuse right straight multiple choice 1 point classify the angle with the given measure as acute, obtuse, right, or straight. m∠a = 85° acute obtuse right straight

Explanation:

Step1: Recall angle - type definitions

An acute angle has measure between $0^{\circ}$ and $90^{\circ}$, a right angle has measure equal to $90^{\circ}$, an obtuse angle has measure between $90^{\circ}$ and $180^{\circ}$, and a straight angle has measure equal to $180^{\circ}$.

Step2: Classify the first angle

For $m\angle A = 115^{\circ}$, since $90^{\circ}<115^{\circ}<180^{\circ}$, it is an obtuse angle.

Step3: Classify the second angle

For $m\angle A = 85^{\circ}$, since $0^{\circ}<85^{\circ}<90^{\circ}$, it is an acute angle.

Answer:

  1. B. obtuse
  2. A. acute