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2.1 Calculate WRS 2.2 Calculate W

Mathematics

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Answer

90∘\text{}90^\circ\text{}

Step-by-step solution

2 steps

Here are the calculations for the angles:

1.2.1 Calculate WRS

  1. Identify the relationship between the tangent and diameter.

    RW is a tangent to the circle at R, and RS is the diameter. The angle between a tangent and a diameter at the point of contact is 90∘90^\circ.

    ∠WRS=90∘\angle WRS = 90^\circ

    The size of WRS is 90∘\boxed{\text{}90^\circ\text{}}

    1.2.2 Calculate W

  2. Find ∠PSR\angle PSR.

    RS is the diameter, so ∠RPS=90∘\angle RPS = 90^\circ (angle in a

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