Scroll:Geometry >> Angles >> saq (2550)

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)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 30° and ∠x is 30°.

Find angle ∠BCF.



°


Answer:_______________




2)  

PQRS is a rectangle, not drawn to scale.

∠PQR is divided into 3 equal angles.

Find ∠a.



°


Answer:_______________




3)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 28° and ∠x is 29°.

Find angle ∠DCE.



°


Answer:_______________




4)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 28° and ∠x is 26°.

Find angle ∠CBE.



°


Answer:_______________




5)  

ABCD is a rectangle, not drawn to scale.
Given that ∠y is 29° and ∠x is 30°.
Find angle ∠DAE.

°


Answer:_______________




6)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 25° and ∠x is 29°.

Find angle ∠EAF.



°


Answer:_______________




7)  

EFGH is a rectangle, not drawn to scale.

Given that ∠y is 31° and ∠x is 29°.

Find angle ∠EGI.



°


Answer:_______________




8)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 27° and ∠x is 26°.

Find angle ∠ADF.



°


Answer:_______________




9)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 30° and ∠x is 28°.

Find angle ∠BCF.



°


Answer:_______________




10)  

PQRS is a rectangle, not drawn to scale.

∠PQR is divided into 3 equal angles.

Find ∠a.



°


Answer:_______________




 

1)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 30° and ∠x is 30°.

Find angle ∠BCF.



Answer: 30°


SOLUTION 1 :

90° - 30° - 30°  = 30°

∠BCF is 30°.



2)  

PQRS is a rectangle, not drawn to scale.

∠PQR is divided into 3 equal angles.

Find ∠a.



Answer: 30°


SOLUTION 1 :

90° ÷ 3° = 30°

∠a is 30°.



3)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 28° and ∠x is 29°.

Find angle ∠DCE.



Answer: 33°


SOLUTION 1 :

90° - 28° - 29°  = 33°

∠DCE is 33°.



4)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 28° and ∠x is 26°.

Find angle ∠CBE.



Answer: 36°


SOLUTION 1 :

90° - 28° - 26°  = 36°

∠CBE is 36°.



5)  

ABCD is a rectangle, not drawn to scale.
Given that ∠y is 29° and ∠x is 30°.
Find angle ∠DAE.

Answer: 31°


SOLUTION 1 :

90° - 30° - 29°  = 31°

∠DAE is 31°.



6)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 25° and ∠x is 29°.

Find angle ∠EAF.



Answer: 36°


SOLUTION 1 :

90° - 25° - 29°  = 36°


∠EAF is 36°.



7)  

EFGH is a rectangle, not drawn to scale.

Given that ∠y is 31° and ∠x is 29°.

Find angle ∠EGI.



Answer: 30°


SOLUTION 1 :

90° - 31° - 29°  = 30°

∠EGI is 30°.



8)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 27° and ∠x is 26°.

Find angle ∠ADF.



Answer: 37°


SOLUTION 1 :

90° - 27° - 26°  = 37°

∠ADF is 37°.



9)  

ABCD is a rectangle, not drawn to scale.

Given that ∠y is 30° and ∠x is 28°.

Find angle ∠BCF.



Answer: 32°


SOLUTION 1 :

90° - 30° - 28°  = 32°

∠BCF is 32°.



10)  

PQRS is a rectangle, not drawn to scale.

∠PQR is divided into 3 equal angles.

Find ∠a.



Answer: 30°


SOLUTION 1 :

90° ÷ 3° = 30°

∠a is 30°.