Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
2. Reflections
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Exercise 44 Page 188

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

Angle Measure: 70^(∘)
Classification: Acute

Practice makes perfect

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

Examining the protractor, we can see that the ray traveling through C passes through 120^(∘). Also, the ray traveling through D passes through 50^(∘). By the Protractor Postulate, the measure of ∠ COD is the difference between 120^(∘) and 50^(∘). m ∠ COD: 120^(∘)-50^(∘)=70^(∘) 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 70^(∘), we know that it is acute.