Question

In the figure ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105^o and ∠OXC = y. Then y is equal to

• A. 50^o
• B. 90^o
• C. 60^o
• D. 45^o

Answer 1

The correct option is C

60^o

∠OCX = 45^o (diagonal bisects the angle of a square)

∠COD + ∠COX = 180^o (linear pair)

∠COX = 75^o, In COX, by angle sum property ∠OXC = 60^o

Hence y = 60^o