Aptitude Reasoning English GK Computer Knowledge Programming Skill Banking Software Testing

Question

Geometry:

If ABCD is a cyclic quadrilateral with ∠A = 50 degrees, ∠B = 80 degrees then ∠C and ∠D are _____

  • 110 degrees, 120 degrees
  • 130 degrees, 100 degrees
  • 100 degrees, 130 degrees
  • 115 degrees, 115 degrees
  • None of these
Answer- B

In a cycling Quadrilateral, the opposite angles are supplementary i.e. they add up to 180 degrees.

Means A + C=180 and B + D= 180.

As given, ∠A = 50; A + C = 180

=> 50 + C = 180

=> C = 130.