Answer :

From the diagram shown, the value of m ∠ ROS is 19

How to determine the angle

From the image shown, we can deduce that:

m ∠ QOS + m ∠ P0Q = m ∠ POR + m ∠ ROS

Where;

  • m ∠ QOS  = 57
  • m ∠ P0Q = 28
  • m ∠ POR = 66

Now, let's substitute into the formula;

57 + 28 = 66 + m ∠ ROS

m ∠ ROS = 85 - 66

Find the difference

m ∠ ROS = 19

The value of m ∠ ROS is 19

Thus, from the diagram shown, the value of m ∠ ROS is 19

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