Question - Determining Angle Measurements with a Protractor
Solution:
The image shows a protractor aligned with an angle, and you're asked to find the measure of each angle and classify them. Let's go through them:a) ∠RQUTo measure angle RQU, you place the center of the protractor at point Q, align one ray of the angle with the zero mark on the protractor, and where the other ray crosses the numbers on the protractor gives you the measure of the angle. Based on the alignment in the image, the angle measure is difficult to read precisely. But, if we estimate based on the image, it appears that the angle ∠RQU is slightly more than 60 degrees but less than 90 degrees.Since ∠RQU is greater than 0 degrees and less than 90 degrees, it is an acute angle.b) ∠TQUThe second angle to be measured is ∠TQU. Again, you would align the protractor as before to measure this angle. Based on the image, the angle ∠TQU is more than 90 degrees but less than 180 degrees. It is difficult to determine the exact measurement from the given image, but it appears to be roughly around the 120-degree mark.Since ∠TQU is greater than 90 degrees but less than 180 degrees, it is an obtuse angle.c) ∠UQSThe third angle to be measured is ∠UQS. The protractor would be used in the same fashion as with the previous angles, but this angle is not visibly connected to the protractor in the image. However, by examining the position of point S in relation to the protractor, point S appears to be aligned closely with the 90-degree mark. Therefore, if point S corresponds exactly with the right angle benchmark, angle ∠UQS is a right angle.Since ∠UQS appears to be exactly 90 degrees, it is a right angle.Due to the image's resolution and the angle at which it's taken, these measurements are estimated. For precise measurements, you'd need to be able to read the protractor's scale clearly or use the protractor yourself.
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