Classifying Angles. Tell whether each angle is acute, right, obtuse, or straight Use the diagram to complete Exercises 4 8.
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1 Name Date Class Practice A Classifying Angles Tell whether each angle is acute, right, obtuse, or straight Use the diagram to complete Exercises Add the measures of UZV and TZU. 5. Are UZV and TZU complementary, supplementary, or neither? 6. Add the measures of QZR and RZS. 7. Are QZR and RZS complementary, supplementary, or neither? 8. Are QZS and VZS complementary, supplementary, or neither? 9. Angles G and H are supplementary. If m G is 80, what is m H? 10. Angles M and N are complementary. If m M is 20, what is m N?
2 Name Date Class Practice B Classifying Angles Tell whether each angle is acute, right, obtuse, or straight Use the diagram to tell whether the angles are complementary, supplementary or neither. 4. AQC and GQC _ 5. BQD and DQE _ 6. CQE and EQF _ 7. GQF and FQE _ 8. BQC and DQC _ 9. Angles W and X are supplementary. If m W is 37, what is m X? 10. Angles S and T are complementary. If m S is 64, what is m T? 11. Angles C and D are supplementary. If m C is 83, what is m D? 12. Angles U and V are complementary. If m U is 41, what is m V?
3 Name Date Class Practice C Classifying Angles Tell whether each angle is acute, right, obtuse, or straight Use the diagram to tell whether the angles are complementary, supplementary or neither. 4. JPK and KPL _ 5. LPK and MPL _ 6. HPM and MPN _ 7. LPM and KPJ _ 8. Angles L and M are complementary. If m L is 16, what is m M? 9. Angles R and S are supplementary. If m R is 78, what is m S? Classify each pair of angles as complementary or supplementary. Then find the missing angle measure
4 Name Date Class Review for Mastery Classifying Angles Two rays with a common endpoint form an angle. The common endpoint is called the vertex. You can name an angle three ways: with the letter at the vertex: Y. with a number written inside the angle: 1. with three letters: XYZ or ZYX. The letter of the vertex must be in the middle. Angles are measured in degrees and classified by their measures. Two angles are complementary if their sum is 90. Two angles are supplementary if their sum is 180. Use the figure to complete the statements. 1. PQR measures. It is a angle. 2. RQS measures. It is an angle. 3. UQR measures 30 90, or. It is an angle. 4. PQT measures , or. It is a angle. 5. NKL and LKO are angles since JKO and OKL are angles since
5 Name Date Class Challenge Angling Clocks The hands of a clock form an angle. At 9 o clock, the hour hand points to 9, and the minute hand points to 12. The angle formed measures 90. But how do you measure the angle when both hands are between numbers? There are 5 minutes between two consecutive numbers on a clock. Each time the minute hand moves 12 minutes, or 1 5 the distance around the clock, the hour hand moves 1 5 the distance between two consecutive numbers. What is the angle between the hands at 7:24? When the minute hand moves 24 minutes, the hour hand moves 2 sections. So, there are (7 5 2) 24, or 13, sections between the hands. Each section is 1 of an hour, and there 60 are 360 on a clock face The angle between the hands measures Draw the clock hands and find the angle between them at 5 o clock. 7. Find the angle between the hands at 3:12. _ 3. Find the angle between the hands at 1 o clock. 5. Find the angle between the hands at 12:24.
6 Name Date Class 2. Draw the clock hands and find the angle between them at 8 o clock. 4. Find the angle between the hands at 2 o clock. _ 6. Find the angle between the hands at 3: Find the angle between the hands at 1:36.
7 Name Date Class Problem Solving Classifying Angles Write the correct answer. The drawing shows a scene on a calendar and 2 are complementary angles. If 1 measures 35, what is the measure of 2? _ 2. 3 and 4 are supplementary angles. If 3 measures 50, what is the measure of 4? _ 3. Which angle is an obtuse angle: 6 or 7? _ 4. Which angle labeled on the drawing is a right angle? Choose the letter for the correct answer. Use the diagram to complete Exercises 5 and Which of the following could be the measures of TZU and QZR? A m TZU 55 and m QZR 55 B m TZU 25 and m QZR 90 C m TZU 80 and m QZR 100 D m TZU 35 and m QZR If RZS measures 35, what is the measure of SZT? F 155 G 145 H 55 J A and B are complementary angles. The measure of B is 4 times the measure of A. What are the measures of the angles? A m A 16 and m B 64 B m A 18 and m B 72 C m A 36 and m B 144 D m A 45 and m B The hands of a clock form an acute angle at 1:00. What type of angle do they form at 4:00? F acute G right H obtuse J straight
8 Name Date Class Reading Strategies Use Manipulatives You use a ruler to measure the length of a line. You use a protractor to measure the degrees of an angle. Using a protractor, follow these steps to measure an angle. Step 1: Place the vertex of the angle under the hole in the middle of the protractor. Step 2: Line up the 0 line on the protractor with one of the rays. This ray is lined up with the 0 line on the right side of the protractor, so you will use the inside numbers to find the measure of the angle. Step 3: Follow the inside numbers from 0 until you reach the other ray. Notice that the other ray is on 35. The measure of the angle is 35. Use the information above to answer each question. 1. What tool is used to measure an angle? 2. Where is the vertex of an angle placed on your protractor to measure the angle? 3. What part of an angle lines up with the 0 line on the protractor? Use a protractor to measure these angles
9 Name Date Class Puzzles, Twisters & Teasers Off the Hook! Draw lines to match each term with the correct figure. Each figure has a corresponding letter. Use the letters to solve the riddle. 1. complementary angles E 2. right angle O 3. ray S 4. supplementary angles G 5. vertex U 6. obtuse angle R 7. acute angle N 8. straight angle T Who performs operations in the fish hospital? The
10 Name Date Class LESSON 8-2 Practice A 1. acute 2. obtuse 3. right neither complementary 8. supplementary Practice B 1. straight 2. acute 3. obtuse 4. supplementary 5. neither 6. complementary 7. neither 8. complementary Practice C 1. right 2. obtuse 3. acute 4. neither 5. complementary 6. supplementary 7. neither supplementary; complementary; 55 Review for Mastery ; right ; acute ; obtuse ; straight 5. complementary; supplementary; 180 Challenge Problem Solving D 6. G 7. B 8. H Reading Strategies 1. a protractor 2. under the hole in the middle of the protractor 3. one of the two rays degrees degrees Puzzles, Twisters & Teasers 1. N 2. S 3. O 4. T 5. E 6. U 7. G 8. R S T U R G E O N 150
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