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 : 7. Hence find the unknown angles. x y 0o ∠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 20o ∠x : o ∠ y : o Answer:_______________ |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 28o ∠x : o ∠ y : o Answer:_______________ |
| 4) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 6. Hence find the unknown angles. x y 54o ∠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 44o ∠x : o ∠ y : o Answer:_______________ |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 19o ∠x : o ∠ y : o Answer:_______________ |
| 7) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 54o ∠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 9o ∠x : o ∠ y : o Answer:_______________ |
| 9) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 27o ∠x : o ∠ y : o Answer:_______________ |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 6. Hence find the unknown angles. x y 60o ∠x : o ∠ y : o Answer:_______________ |
| 1) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 0o ∠x : Answer: 40 o ∠ y : Answer: 140 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 7 units Step 2: 2 units + 7 units = 9 units Step 3: 180o - 0o = 180o Step 4: 9 units = 180o 1 unit = 180o ÷ 9 = 20o Step 5: ∠x (2 units) = 2 x 20o = 40o Step 6: ∠y (7 units) = 7 x 20o = 140o |
| 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 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 |
| 3) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 5. Hence find the unknown angles. x y 28o ∠x : Answer: 57 o ∠ y : Answer: 95 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 5 units Step 2: 3 units + 5 units = 8 units Step 3: 180o - 28o = 152o Step 4: 8 units = 152o 1 unit = 152o ÷ 8 = 19o Step 5: ∠x (3 units) = 3 x 19o = 57o Step 6: ∠y (5 units) = 5 x 19o = 95o |
| 4) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 3 : 6. Hence find the unknown angles. x y 54o ∠x : Answer: 42 o ∠ y : Answer: 84 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 6 units Step 2: 3 units + 6 units = 9 units Step 3: 180o - 54o = 126o Step 4: 9 units = 126o 1 unit = 126o ÷ 9 = 14o Step 5: ∠x (3 units) = 3 x 14o = 42o Step 6: ∠y (6 units) = 6 x 14o = 84o |
| 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 44o ∠x : Answer: 51 o ∠ y : Answer: 85 o SOLUTION 1 : Step 1: ∠x = 3 units , ∠y = 5 units Step 2: 3 units + 5 units = 8 units Step 3: 180o - 44o = 136o Step 4: 8 units = 136o 1 unit = 136o ÷ 8 = 17o Step 5: ∠x (3 units) = 3 x 17o = 51o Step 6: ∠y (5 units) = 5 x 17o = 85o |
| 6) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 19o ∠x : Answer: 46 o ∠ y : Answer: 115 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 5 units Step 2: 2 units + 5 units = 7 units Step 3: 180o - 19o = 161o Step 4: 7 units = 161o 1 unit = 161o ÷ 7 = 23o Step 5: ∠x (2 units) = 2 x 23o = 46o Step 6: ∠y (5 units) = 5 x 23o = 115o |
| 7) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 5. Hence find the unknown angles. x y 54o ∠x : Answer: 36 o ∠ y : Answer: 90 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 5 units Step 2: 2 units + 5 units = 7 units Step 3: 180o - 54o = 126o Step 4: 7 units = 126o 1 unit = 126o ÷ 7 = 18o Step 5: ∠x (2 units) = 2 x 18o = 36o Step 6: ∠y (5 units) = 5 x 18o = 90o |
| 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 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 |
| 9) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 7. Hence find the unknown angles. x y 27o ∠x : Answer: 34 o ∠ y : Answer: 119 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 7 units Step 2: 2 units + 7 units = 9 units Step 3: 180o - 27o = 153o Step 4: 9 units = 153o 1 unit = 153o ÷ 9 = 17o Step 5: ∠x (2 units) = 2 x 17o = 34o Step 6: ∠y (7 units) = 7 x 17o = 119o |
| 10) The following figure is made up of straight lines. The ratio of ∠x : ∠y is 2 : 6. Hence find the unknown angles. x y 60o ∠x : Answer: 30 o ∠ y : Answer: 90 o SOLUTION 1 : Step 1: ∠x = 2 units , ∠y = 6 units Step 2: 2 units + 6 units = 8 units Step 3: 180o - 60o = 120o Step 4: 8 units = 120o 1 unit = 120o ÷ 8 = 15o Step 5: ∠x (2 units) = 2 x 15o = 30o Step 6: ∠y (6 units) = 6 x 15o = 90o |