Scroll:Geometry >> Angles >> saq (1570)

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)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
104°

o


Answer:_______________




2)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
112°

o


Answer:_______________




3)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
128°

o


Answer:_______________




4)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
132°

o


Answer:_______________




5)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
124°

o


Answer:_______________




6)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
108°

o


Answer:_______________




7)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
100°

o


Answer:_______________




8)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
120°

o


Answer:_______________




9)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
136°

o


Answer:_______________




10)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
116°

o


Answer:_______________




 

1)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
104°

Answer: 64o


SOLUTION 1 :

Step 1: 360o - 104o = 256o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 256o
Step 4: 1 unit (∠ x) = 256 ÷ 4 =  64o



2)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
112°

Answer: 62o


SOLUTION 1 :

Step 1: 360o - 112o = 248o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 248o
Step 4: 1 unit (∠ x) = 248 ÷ 4 =  62o



3)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
128°

Answer: 58o


SOLUTION 1 :

Step 1: 360o - 128o = 232o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 232o
Step 4: 1 unit (∠ x) = 232 ÷ 4 =  58o



4)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
132°

Answer: 57o


SOLUTION 1 :

Step 1: 360o - 132o = 228o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 228o
Step 4: 1 unit (∠ x) = 228 ÷ 4 =  57o



5)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
124°

Answer: 59o


SOLUTION 1 :

Step 1: 360o - 124o = 236o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 236o
Step 4: 1 unit (∠ x) = 236 ÷ 4 =  59o



6)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
108°

Answer: 63o


SOLUTION 1 :

Step 1: 360o - 108o = 252o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 252o
Step 4: 1 unit (∠ x) = 252 ÷ 4 =  63o



7)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
100°

Answer: 65o


SOLUTION 1 :

Step 1: 360o - 100o = 260o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 260o
Step 4: 1 unit (∠ x) = 260 ÷ 4 =  65o



8)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
120°

Answer: 60o


SOLUTION 1 :

Step 1: 360o - 120o = 240o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 240o
Step 4: 1 unit (∠ x) = 240 ÷ 4 =  60o



9)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
136°

Answer: 56o


SOLUTION 1 :

Step 1: 360o - 136o = 224o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 224o
Step 4: 1 unit (∠ x) = 224 ÷ 4 =  56o



10)  

Given that ∠y is thrice the size of ∠x, find ∠x.

y
x
116°

Answer: 61o


SOLUTION 1 :

Step 1: 360o - 116o = 244o
Step 2: 3 units + 1 unit = 4 units

Step 3: 4 units = 244o
Step 4: 1 unit (∠ x) = 244 ÷ 4 =  61o