Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 33o ∠x : o ∠ y : o Answer:_______________ |
| 2) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 6. Hence find the unknown angles. x y 52o ∠x : o ∠ y : o Answer:_______________ |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 9o ∠x : o ∠ y : o Answer:_______________ |
| 4) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 52o ∠x : o ∠ y : o Answer:_______________ |
| 5) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 8. Hence find the unknown angles. x y 30o ∠x : o ∠ y : o Answer:_______________ |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 7. Hence find the unknown angles. x y 30o ∠x : o ∠ y : o Answer:_______________ |
| 7) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 8. Hence find the unknown angles. x y 59o ∠x : o ∠ y : o Answer:_______________ |
| 8) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 54o ∠x : o ∠ y : o Answer:_______________ |
| 9) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 7. Hence find the unknown angles. x y 20o ∠x : o ∠ y : o Answer:_______________ |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 6. Hence find the unknown angles. x y 36o ∠x : o ∠ y : o Answer:_______________ |
| 1) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 33o ∠x : Answer: 42 o ∠ y : Answer: 105 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 5 units Step 2: 2 units + 5 units = 7 units Step 3: 180o - 33o = 147o Step 4: 7 units = 147o 1 unit = 147o ÷ 7 = 21o Step 5: ∠x (2 units) = 2 x 21o = 42o Step 6: ∠y (5 units) = 5 x 21o = 105o |
| 2) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 6. Hence find the unknown angles. x y 52o ∠x : Answer: 32 o ∠ y : Answer: 96 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 6 units Step 2: 2 units + 6 units = 8 units Step 3: 180o - 52o = 128o Step 4: 8 units = 128o 1 unit = 128o ÷ 8 = 16o Step 5: ∠x (2 units) = 2 x 16o = 32o Step 6: ∠y (6 units) = 6 x 16o = 96o |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 9o ∠x : Answer: 38 o ∠ y : Answer: 133 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 7 units Step 2: 2 units + 7 units = 9 units Step 3: 180o - 9o = 171o Step 4: 9 units = 171o 1 unit = 171o ÷ 9 = 19o Step 5: ∠x (2 units) = 2 x 19o = 38o Step 6: ∠y (7 units) = 7 x 19o = 133o |
| 4) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 52o ∠x : Answer: 48 o ∠ y : Answer: 80 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 5 units Step 2: 3 units + 5 units = 8 units Step 3: 180o - 52o = 128o Step 4: 8 units = 128o 1 unit = 128o ÷ 8 = 16o Step 5: ∠x (3 units) = 3 x 16o = 48o Step 6: ∠y (5 units) = 5 x 16o = 80o |
| 5) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 8. Hence find the unknown angles. x y 30o ∠x : Answer: 30 o ∠ y : Answer: 120 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 8 units Step 2: 2 units + 8 units = 10 units Step 3: 180o - 30o = 150o Step 4: 10 units = 150o 1 unit = 150o ÷ 10 = 15o Step 5: ∠x (2 units) = 2 x 15o = 30o Step 6: ∠y (8 units) = 8 x 15o = 120o |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 7. Hence find the unknown angles. x y 30o ∠x : Answer: 45 o ∠ y : Answer: 105 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 7 units Step 2: 3 units + 7 units = 10 units Step 3: 180o - 30o = 150o Step 4: 10 units = 150o 1 unit = 150o ÷ 10 = 15o Step 5: ∠x (3 units) = 3 x 15o = 45o Step 6: ∠y (7 units) = 7 x 15o = 105o |
| 7) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 8. Hence find the unknown angles. x y 59o ∠x : Answer: 33 o ∠ y : Answer: 88 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 8 units Step 2: 3 units + 8 units = 11 units Step 3: 180o - 59o = 121o Step 4: 11 units = 121o 1 unit = 121o ÷ 11 = 11o Step 5: ∠x (3 units) = 3 x 11o = 33o Step 6: ∠y (8 units) = 8 x 11o = 88o |
| 8) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 54o ∠x : Answer: 28 o ∠ y : Answer: 98 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 7 units Step 2: 2 units + 7 units = 9 units Step 3: 180o - 54o = 126o Step 4: 9 units = 126o 1 unit = 126o ÷ 9 = 14o Step 5: ∠x (2 units) = 2 x 14o = 28o Step 6: ∠y (7 units) = 7 x 14o = 98o |
| 9) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 7. Hence find the unknown angles. x y 20o ∠x : Answer: 48 o ∠ y : Answer: 112 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 7 units Step 2: 3 units + 7 units = 10 units Step 3: 180o - 20o = 160o Step 4: 10 units = 160o 1 unit = 160o ÷ 10 = 16o Step 5: ∠x (3 units) = 3 x 16o = 48o Step 6: ∠y (7 units) = 7 x 16o = 112o |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 6. Hence find the unknown angles. x y 36o ∠x : Answer: 48 o ∠ y : Answer: 96 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 6 units Step 2: 3 units + 6 units = 9 units Step 3: 180o - 36o = 144o Step 4: 9 units = 144o 1 unit = 144o ÷ 9 = 16o Step 5: ∠x (3 units) = 3 x 16o = 48o Step 6: ∠y (6 units) = 6 x 16o = 96o |