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

Exercise 47 Page 558

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

Angle Measure: 180^(∘)
Classification: Straight

Practice makes perfect

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

Examining the protractor, we can see that the ray traveling through A passes through 180^(∘). Also, the ray traveling through B passes through 0^(∘). By the Protractor Postulate, the measure of ∠ AOB is the difference between 180^(∘) and 0^(∘). m ∠ AOB: 180^(∘)-0^(∘)=180^(∘) 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 180^(∘), we know that it is straight.