Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Reflections
Continue to next subchapter

Exercise 48 Page 558

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

Angle Measure: 120^(∘)
Classification: Obtuse

Practice makes perfect

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

Examining the protractor, we can see that the ray traveling through C passes through 120^(∘). Also, the ray traveling through B passes through 0^(∘). By the Protractor Postulate, the measure of ∠ COB is the difference between 120^(∘) and 0. m ∠ COB: 120^(∘)-0^(∘)=120^(∘) 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 120^(∘), we know that it is obtuse.