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Explore the classification of angles based on their measures: acute (0-90°), obtuse (90-180°), and right (exactly 90°). Use diagrams and protractors to measure angles accurately. In practical examples, learn how to classify angles such as acute, obtuse, and right. Practice your skills by measuring angles in a quiz format. Discover the importance of understanding angle classification in geometry, and enhance your ability to analyze geometric shapes through proper measurement techniques.
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Use the diagram to find the measure of the indicated angle. Then classify the angle. a.KHJ b. GHK c. LHK d. GHL EXAMPLE 1 Measure and classify angles SOLUTION A protractor has an inner and an outer scale. When you measure an angle, check to see which scale to use.
o a.HJ is lined up with the 0 on the inner scale of the protractor. HKpasses through 55 on the inner scale. So, mKHJ = 55 . It is an acute angle. o o b.HG is lined up with the 0 on the outer scale and HKpasses through 125 on the outer scale. So,mGHK = 125 . It is an obtuse angle. o c.m LHK = 35. It is an acute angle. d.m GHL= 90. It is a right angle. EXAMPLE 2 Measure and classify angles
QUIZ 1. Name all the angles in the diagram at the right. Which angle is a right angle? an acute angle?
ANSWER PQR , PQS, RQS . PQS is a right angle . . PQR & SQR are acute angles . QUIZ 1. Name all the angles in the diagram at the right. Which angle is a right angle? an acute angle/s?