Final answer:
To measure an angle with a protractor, align its center with the angle's vertex, one arm with the zero line, and note where the other arm intersects the scale. Angles should be rounded to the nearest integer, and trigonometric relationships are used for more complex calculations.
Step-by-step explanation:
To measure an angle using a protractor, you should first align the protractor's origin or center point with the vertex of the angle. Ensure that one side of the angle aligns with the zero line of the protractor. Look where the other side of the angle intersects with the protractor's scale to determine the angle's measurement. It's essential to round the measurement to the nearest integer if required, as the question asks for a rounded value.
For example, if the angle measures 88.6°, you would round this to 89° as your final answer. Keep in mind that angles can be expressed in degrees and sometimes are further broken down into minutes and seconds.
When dealing with angles in real-world applications such as triangulation or physics problems, we often use trigonometric relationships such as sine, cosine, and tangent to find unknown angle measures, distances, or other properties of geometric figures.