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In the figure, PQRS is a cyclic quadrilateral. Find the value of x. Please solve it another way.

Dear student,

PQRS is a cyclic quadrilateral so opposite angles are supplementary 
consider triangle PRS 
angle S= 180-(50 +35)
            = 180- 85                  [ANGLE SUM PROPERTY]
            =95
so in PQRS
​         x =180-95--( opposite angles are supplementary)
           =85

Regards
 

  • 10
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PQRS is a cyclic quadrilateral so opposite sides are supplementary 
consider triangle PRS 
angle S= 180-(50 +35)
            = 180- 85                  [ANGLE SUM PROPERTY]
            =95
so in PQRS
​         x =180-95
           =85
  • 4
85 degree. Above solution is correct.
  • 1
answer is 85 degree since angle s=180-85=95
so in pqrs 
x=180 - 95 = 85
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