Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Reflections
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Exercise 43 Page 188

The angle we are looking for is between the rays that start at O and pass through the points A and E.

Angle Measure: 160^(∘)
Classification: Obtuse

Practice makes perfect

Let's first identify the angle we are looking for. The symbol ∠ AOE refers to the angle found between the rays that start at O and pass through the points A and E.

Examining the protractor, we can see that the ray traveling through A passes through 0^(∘). Also, the ray traveling through E passes through 160^(∘). By the Protractor Postulate, the measure of ∠ AOE is the difference between 160^(∘) and 0^(∘). m ∠ AOE: 160^(∘)-0^(∘)=160^(∘) Now, we can classify the angle using its measure.

Type Measure
Acute 0^(∘)
Right m=90^(∘)
Obtuse 90^(∘)
Straight m=180^(∘)

Because our angle is 160^(∘), we know that it is obtuse.