Scroll:Extra geometry >> extra >> saq (1628)

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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.

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1)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     o Answer:_______________

2)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. o Answer:_______________

3)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 50o and ∠ WZY is 60o.  Find ∠ WFG.   o Answer:_______________

4)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 65o and ∠ WZY is 75o.  Find ∠ WFG.     o  Answer:_______________

5)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     o Answer:_______________

6)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. o Answer:_______________

7)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 50o and ∠ WZY is 60o.  Find ∠ WFG.   o Answer:_______________

8)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 65o and ∠ WZY is 75o.  Find ∠ WFG.     o  Answer:_______________

9)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     o Answer:_______________

10)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. o Answer:_______________

 

1)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     Answer: 15o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  55°  (EH//FG)         =  125°          Step 2: ∠ZWX  →  ï»¿180°  -  50° (WX//ZF)        =  130°ï»¿          Step 3: ∠GWF  →  ï»¿130°ï»¿  -  90°ï»¿          =  40°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  125°ï»¿  -  40°ï»¿  (sum of angles of triangle)      = 15°ï»¿

2)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. Answer: 60o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  75°  (EH//FG)         =  105°          Step 2: ∠ZWX  →  ï»¿180°  -  75° (WX//ZF)        =  105°ï»¿          Step 3: ∠GWF  →  ï»¿105°ï»¿  -  90°ï»¿          =  15°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  105°ï»¿  -  15°ï»¿  (sum of angles of triangle)      = 60°ï»¿

3)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 50o and ∠ WZY is 60o.  Find ∠ WFG.   Answer: 20o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  50°  (EH//FG)         =  130°          Step 2: ∠ZWX  →  ï»¿180°  -  60° (WX//ZF)        =  120°ï»¿          Step 3: ∠GWF  →  ï»¿120°ï»¿  -  90°ï»¿          =  30°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  130°ï»¿  -  30°ï»¿  (sum of angles of triangle)      = 20°ï»¿

4)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 65o and ∠ WZY is 75o.  Find ∠ WFG.     Answer: 50o  SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  65°  (EH//FG)         = 115°          Step 2: ∠ZWX  →  ï»¿180°  -  75° (WX//ZF)        =  105°ï»¿          Step 3: ∠GWF  →  ï»¿105°ï»¿  -  90°ï»¿          =  15°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  115°ï»¿  -  15°ï»¿  (sum of angles of triangle)      = 50°ï»¿

5)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     Answer: 15o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  55°  (EH//FG)         =  125°          Step 2: ∠ZWX  →  ï»¿180°  -  50° (WX//ZF)        =  130°ï»¿          Step 3: ∠GWF  →  ï»¿130°ï»¿  -  90°ï»¿          =  40°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  125°ï»¿  -  40°ï»¿  (sum of angles of triangle)      = 15°ï»¿

6)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. Answer: 60o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  75°  (EH//FG)         =  105°          Step 2: ∠ZWX  →  ï»¿180°  -  75° (WX//ZF)        =  105°ï»¿          Step 3: ∠GWF  →  ï»¿105°ï»¿  -  90°ï»¿          =  15°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  105°ï»¿  -  15°ï»¿  (sum of angles of triangle)      = 60°ï»¿

7)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 50o and ∠ WZY is 60o.  Find ∠ WFG.   Answer: 20o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  50°  (EH//FG)         =  130°          Step 2: ∠ZWX  →  ï»¿180°  -  60° (WX//ZF)        =  120°ï»¿          Step 3: ∠GWF  →  ï»¿120°ï»¿  -  90°ï»¿          =  30°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  130°ï»¿  -  30°ï»¿  (sum of angles of triangle)      = 20°ï»¿

8)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 65o and ∠ WZY is 75o.  Find ∠ WFG.     Answer: 50o  SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  65°  (EH//FG)         = 115°          Step 2: ∠ZWX  →  ï»¿180°  -  75° (WX//ZF)        =  105°ï»¿          Step 3: ∠GWF  →  ï»¿105°ï»¿  -  90°ï»¿          =  15°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  115°ï»¿  -  15°ï»¿  (sum of angles of triangle)      = 50°ï»¿

9)    The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 55 and ∠ WZY is 50o.  Find ∠ WFG.     Answer: 15o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  55°  (EH//FG)         =  125°          Step 2: ∠ZWX  →  ï»¿180°  -  50° (WX//ZF)        =  130°ï»¿          Step 3: ∠GWF  →  ï»¿130°ï»¿  -  90°ï»¿          =  40°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  125°ï»¿  -  40°ï»¿  (sum of angles of triangle)      = 15°ï»¿

10)   The figure shown below is not drawn to scale.  EFGH and WXYZ are parallelograms.  ∠ EHG is 75o and ∠ WZY is 75o.  Find ∠ WFG. Answer: 60o SOLUTION 1 :  Step 1:  ∠HGF  →  180° -  75°  (EH//FG)         =  105°          Step 2: ∠ZWX  →  ï»¿180°  -  75° (WX//ZF)        =  105°ï»¿          Step 3: ∠GWF  →  ï»¿105°ï»¿  -  90°ï»¿          =  15°ï»¿          Step 4: ∠WFG  →  180°ï»¿  -  105°ï»¿  -  15°ï»¿  (sum of angles of triangle)      = 60°ï»¿