Maths-
General
Easy

Question

In the figure, p||q||r. Then left parenthesis x plus y plus z right parenthesis to the power of ring operator end exponent minus left parenthesis a plus b plus c right parenthesis to the power of ring operator end exponent equals ?

  1.    
  2.    
  3. 10°    
  4. 15°    

hintHint:

Find x,y,z and a,b,c

The correct answer is: 5°


    Step 1
    space y equals 110 to the power of ring operator space left parenthesis c o r r e s p o n d i n g space a n g l e s space a r e space e q u a l right parenthesis
y plus x space equals space 180 to the power of ring operator space left parenthesis s u p p l e m e n t a r y space a n g l e s space right parenthesis
x equals 180 to the power of ring operator minus 110 to the power of ring operator
x equals 70 to the power of ring operator
x equals z space left parenthesis c o r r e s p o n d i n g space a n g l e s right parenthesis
z equals 70 to the power of ring operator
A l s o space
c equals 65 to the power of ring operator space left parenthesis c o r r e s p o n d i n g space a n g l e s right parenthesis
a plus c space equals 180 to the power of ring operator space left parenthesis s u p p l e m e n t a r y space a n g l e s right parenthesis
a equals 115 to the power of ring operator
c equals b equals 65 to the power of ring operator space left parenthesis v e r t i c a l l y space o p p o s i t e space a n g l e s right parenthesis
    Step 2
    left parenthesis x plus y plus z right parenthesis space minus left parenthesis a plus b plus c right parenthesis
left parenthesis 70 to the power of ring operator plus 70 to the power of ring operator plus 110 to the power of ring operator right parenthesis space minus left parenthesis 115 to the power of ring operator plus 65 to the power of ring operator plus 65 to the power of ring operator right parenthesis
250 to the power of ring operator space minus 245 to the power of ring operator
5 to the power of ring operator

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