Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
5. Measuring and Constructing Angles
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Exercise 11 Page 43

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

Angle Measure: 85^(∘)
Classification: Acute angle

Practice makes perfect

Let's first identify the angle for which we are looking. 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 30^(∘). Also, the ray traveling through D passes through 115^(∘). By the Protractor Postulate, the measure of ∠ COD is the difference between 115^(∘) and 30. m ∠ COD: 115^(∘)-30^(∘)=85^(∘) 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 85^(∘), we know that it is an acute angle.