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 : 6. Hence find the unknown angles. x y 20o ∠x : o ∠ y : o Answer:_______________ |
| 2) 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:_______________ |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 8. Hence find the unknown angles. x y 26o ∠x : o ∠ y : o Answer:_______________ |
| 4) 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:_______________ |
| 5) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 20o ∠x : o ∠ y : o Answer:_______________ |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 8. Hence find the unknown angles. x y 10o ∠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 15o ∠x : o ∠ y : o Answer:_______________ |
| 8) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 5o ∠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 50o ∠x : o ∠ y : o Answer:_______________ |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 18o ∠x : o ∠ y : o Answer:_______________ |
| 1) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 6. Hence find the unknown angles. x y 20o ∠x : Answer: 40 o ∠ y : Answer: 120 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 6 units Step 2: 2 units + 6 units = 8 units Step 3: 180o - 20o = 160o Step 4: 8 units = 160o 1 unit = 160o ÷ 8 = 20o Step 5: ∠x (2 units) = 2 x 20o = 40o Step 6: ∠y (6 units) = 6 x 20o = 120o |
| 2) 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 |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 8. Hence find the unknown angles. x y 26o ∠x : Answer: 42 o ∠ y : Answer: 112 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 8 units Step 2: 3 units + 8 units = 11 units Step 3: 180o - 26o = 154o Step 4: 11 units = 154o 1 unit = 154o ÷ 11 = 14o Step 5: ∠x (3 units) = 3 x 14o = 42o Step 6: ∠y (8 units) = 8 x 14o = 112o |
| 4) 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 |
| 5) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 20o ∠x : Answer: 60 o ∠ y : Answer: 100 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 5 units Step 2: 3 units + 5 units = 8 units Step 3: 180o - 20o = 160o Step 4: 8 units = 160o 1 unit = 160o ÷ 8 = 20o Step 5: ∠x (3 units) = 3 x 20o = 60o Step 6: ∠y (5 units) = 5 x 20o = 100o |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 8. Hence find the unknown angles. x y 10o ∠x : Answer: 34 o ∠ y : Answer: 136 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 8 units Step 2: 2 units + 8 units = 10 units Step 3: 180o - 10o = 170o Step 4: 10 units = 170o 1 unit = 170o ÷ 10 = 17o Step 5: ∠x (2 units) = 2 x 17o = 34o Step 6: ∠y (8 units) = 8 x 17o = 136o |
| 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 15o ∠x : Answer: 45 o ∠ y : Answer: 120 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 8 units Step 2: 3 units + 8 units = 11 units Step 3: 180o - 15o = 165o Step 4: 11 units = 165o 1 unit = 165o ÷ 11 = 15o Step 5: ∠x (3 units) = 3 x 15o = 45o Step 6: ∠y (8 units) = 8 x 15o = 120o |
| 8) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 5o ∠x : Answer: 50 o ∠ y : Answer: 125 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 5 units Step 2: 2 units + 5 units = 7 units Step 3: 180o - 5o = 175o Step 4: 7 units = 175o 1 unit = 175o ÷ 7 = 25o Step 5: ∠x (2 units) = 2 x 25o = 50o Step 6: ∠y (5 units) = 5 x 25o = 125o |
| 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 50o ∠x : Answer: 39 o ∠ y : Answer: 91 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 7 units Step 2: 3 units + 7 units = 10 units Step 3: 180o - 50o = 130o Step 4: 10 units = 130o 1 unit = 130o ÷ 10 = 13o Step 5: ∠x (3 units) = 3 x 13o = 39o Step 6: ∠y (7 units) = 7 x 13o = 91o |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 18o ∠x : Answer: 36 o ∠ y : Answer: 126 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 7 units Step 2: 2 units + 7 units = 9 units Step 3: 180o - 18o = 162o Step 4: 9 units = 162o 1 unit = 162o ÷ 9 = 18o Step 5: ∠x (2 units) = 2 x 18o = 36o Step 6: ∠y (7 units) = 7 x 18o = 126o |