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  i) ∠AOB = 87°

  ii) ∠BOC = 72°

  iii) ∠COD = 123°

  iv) ∠AOD = 78°

Step-by-step explanation:

The first three angle measures can be read from the diagram. Find the rays that define the angle, and read the measure of the arc between them.

The last angle, AOD, is found using the fact that the sum of all of the angles around a point is 360°.

  87° +72° +123° +∠AOD = 360°

  ∠AOD = 360° -282° . . . . . . . . . . subtract 282° from both sides

  ∠AOD = 78°

the answer is b

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.