NYS COMMON CORE MATHEMATICS …

1 Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 10 Problem SetNYS COMMON core MATHEMATICS CURRICULUM 4 4 Name Date Write an equation and solve for the measure of . Verify the measurement using a protractor. 1. is a right angle. 2. is a right angle. 3. is a straight angle. 4. is a straight angle. B A C F E G 45 20 MN O 83 I J K 70 45 + _____ = 90 = _____ _____ + _____ = ____ = _____ _____ + 70 = 180 = _____ _____ + _____ = ____ = _____ Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

2 Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 10 Problem SetNYS COMMON core MATHEMATICS CURRICULUM 4 4 Solve for the unknown angle measurements. Write an equation to solve. 5. Solve for the measurement of . 6. Solve for the measurement of . is a straight angle. is a straight angle. 7. In the following figure, is a rectangle. Without using a protractor, determine the measurement of . Write an equation that could be used to solve the problem. B C D E 27 A X Y Z V U 60 108 Q S T U 36 QSTU36 R 3 8.

3 Complete the following directions in the space to the right. a. Draw 2 points: and . Using a straightedge, draw . b. Plot a point somewhere between points and . a point , which is not on . d. Draw . e. Find the measure of and . an equation to show that the angles add to the measure of a straight angle. Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 10 Exit TicketNYS COMMON core MATHEMATICS CURRICULUM 4 4 Name Date Write an equation and solve for.

4 Is a straight angle. Equation: _____ = _____ T U V 67 53 Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 10 HomeworkNYS COMMON core MATHEMATICS CURRICULUM 4 4 Name Date Write an equation and solve for the measurement of . Verify the measurement using a protractor. 1. is a right angle. 2. is a right angle.

5 3. is a straight angle. 4. is a straight angle. G F H 62 PQ R 16 J K L 145 _____ + 35 = 90 = _____ _____ + _____ = ____ = _____ 145 + _____ = 180 = _____ _____ + _____ = ____ = _____ 35 B C D Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 10 HomeworkNYS COMMON core MATHEMATICS CURRICULUM 4 4 Write an equation and solve for the unknown angle measurements. 5. Solve for the measurement of.

6 6. Solve for the measurement of . is a straight angle. is a straight angle. 7. In the following figure, is a rectangle. Without using a protractor, determine the measurement of GEF. Write an equation that could be used to solve the problem. a. H aD E F74 GP O L M 72 73 R T WU 70 S 35 N 8. Complete the following directions in the space to the right. a. Draw 2 points: and . Using a straightedge, draw . b. Plot a point S somewhere between points and . a point , which is not on . d. Draw . e. Find the measure of and . an equation to show that the angles add to the measure of a straight angle.

7 Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 11 Problem SetNYS COMMON core MATHEMATICS CURRICULUM 4 4 160 Name Date Write an equation, and solve for the unknown angle measurements numerically. 1. 2. 3. 4. 20 74 _____ + _____ + _____ = _____ = _____ _____ + _____ + _____ = _____ = _____ _____ + _____ = 360 = _____ _____ + 20 = 360 = _____ Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

8 Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 11 Problem SetNYS COMMON core MATHEMATICS CURRICULUM 4 4 Write an equation, and solve for the unknown angles numerically. 5. is the intersection of and . = _____ = _____ is 160 and is 20 . 6. is the intersection of and . = _____ = _____ = _____ is 125 . 7. is the intersection of , , and . = _____ = _____ =_____ is 36 . 160 O B 125 V S R 36 O W X Y U T OZA D C 20 Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

9 Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 11 Exit TicketNYS COMMON core MATHEMATICS CURRICULUM 4 4 Name Date Write equations using variables to represent the unknown angle measurements. Find the unknown angle measurements numerically. 1. = 2. = 3. = 66 A F D C B E Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License.

10 Lesson 11 HomeworkNYS COMMON core MATHEMATICS CURRICULUM 4 4 135 145 Name Date Write an equation, and solve for the unknown angle measurements numerically. 1. 2. 3. 4. 320 45 100 115 _____ + 320 = 360 = _____ _____ + _____ = 360 = _____ _____ + _____ + _____ = _____ = _____ _____ + _____ + _____ = _____ = _____ Lesson 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure. Date: 9/14/14 2014 COMMON core , Inc. Some rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License.