5. Measuring and Constructing Angles
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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
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.