5. Measuring and Constructing Angles
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We can find the measure of the angle by reading on the protractor's curved section.
m∠ MHK=90^(∘), right angle
In the diagram, we can see six points, five rays, and a protractor.
By looking at the numbers on the protractor's curved section, we can see that on the inner scale HM passes through 145^(∘) and HK through 55^(∘). According to the Protractor Postulate, the measure of ∠ MHK is equal to the absolute value of the difference between these two values. m∠ MHK = |145^(∘) - 55^(∘)| = 90^(∘) 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 90^(∘), we know that it is a right angle.