Angles. Lesson 12.1 Angles on a Line. Find the unknown marked angles. The diagrams are not drawn to scale. 1. AC is a line. Find the measure of DBE.
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1 ate: 12 HPTR ngles Lesson 12.1 ngles on a Line ind the unknown marked angles. The diagrams are not drawn to scale. 1. is a line. ind the measure of Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. PR is a line. ind the measure of PQT. P T Q 37 S R xtra Practice 5 75
2 ate: 3. is a line. ind the measure of G. H G SU is a line. The measure of y is twice as big as the measure of x and the measure of z is half the measure of a right angle. ind the measure of y. S x T y z U 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 76 hapter 12 Lesson 12.1
3 ate: Lesson 12.2 ngles at a Point ind the unknown marked angles. The diagrams are not drawn to scale. 1. ind the measure of a. 96 a Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. ind the measure of b. 49 b xtra Practice 5 77
4 ate: 3. and meet at O. ind the measure of c. O c 4. is a line. The measure of e is 2 times the measure of d. ind the measures of d and e. 118 d 56 e 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 78 hapter 12 Lesson 12.2
5 ate: Lesson 12.3 Vertical ngles ind the unknown marked angles. The diagrams are not drawn to scale. 1.,, and meet at G. ind the measure of G. 55 G Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2.,,, and GH meet at O. ind the measure of OH. 45 O H 32 G 68 xtra Practice 5 79
6 ate: 3. and meet at and is perpendicular to. ind the measure of and meet at O. ind the measure of O. 118 O Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 80 hapter 12 Lesson 12.3
7 ate: 5. Look at the marked angles in the diagram. In the table below, write all sets of: a. angles at a point, b. vertical angles, and c. angles on a line i g a d b c h p f n e m r j k q 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. ngles at a Point Vertical ngles ngles on a Line a, b, c, and d b and d b and c xtra Practice 5 81
8 ate: ind the unknown marked angles. The diagrams are not drawn to scale. 6. is a square. The measure of is 42. ind the measure of is a line and O is perpendicular to O. ind the measure of O. 105 O Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 82 hapter 12 Lesson 12.3
9 ate: Put on Your Thinking ap! ind the measures of the unknown angles. 1. and meet at. is perpendicular to and G is perpendicular to. ind the measure of x. 49 x G 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 2. In the diagram, the sum of x and y is 124, the sum of y and z is 142, and the sum of x and z is 94. ind the measures of x, y, and z. x y z xtra Practice 5 83
10 ate: 3. In the diagram, the ratio of the measures of x to y is 3 : 4. The measure of x is 51. ind the measure of z. z x y 4. and meet at G. The ratio of the measures of x to y is 5 : 2. ind the measure of z. z 38 G y x Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 84 hapter 12 Put on Your Thinking ap!
11 ate: 5. In the diagram, the measure of p is 7 times the measure of q and the measure of r is 4 times the measure of q. ind the measures of p and r. p r q 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 6. In the diagram, the measures of a, b, and c are in the ratio 3 : 4 : 5. ind the measures of a, b, and c. a b c 132 xtra Practice 5 85
12 ate: 7. In the diagram, c lies on a line. The measure of a is 2_ 3 of d, the measure of d is 3_ 4 of b, and the measure b is 4_ 9 of c. ind the measures of a, b, c, and d. c a d b 8. is a line. O and O are right angles. The measure of O is 130 and the measure of O is 108. What can you say about the measures of O and O? O 2009 Marshall avendish International (Singapore) Private Limited. opying is permitted; see page ii. 86 hapter 12 Put on Your Thinking ap!
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