5. Measuring and Constructing Angles
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Angle Measure: 25^(∘)
Classification: Acute angle
Let's first identify the angle we want. The symbol ∠ EOD refers to the angle found between the rays that start at O and pass through the points E and D.
Examining the protractor, we can see that the ray traveling through E passes through 40^(∘). Also, the ray traveling through D passes through 65^(∘). By the Protractor Postulate, the measure of ∠ EOD is the difference between 65^(∘) and 40. m ∠ EOD: 65^(∘)-40^(∘)=25^(∘) 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 25^(∘), we know that it is an acute angle.