Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Measuring and Constructing Angles
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Exercise 9 Page 419

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

Angle Measure: 30^(∘)
Classification: Acute

Practice makes perfect

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

Examining the protractor, we can see that the ray traveling through A passes through 0^(∘). Also, the ray traveling through C passes through 30^(∘). By the Protractor Postulate, the measure of ∠ AOC is the difference between 30^(∘) and 0. m ∠ AOC: 30^(∘)-0^(∘)=30^(∘) 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 30^(∘), we know that it is acute.