In the following diagram, calculate the measure of ∠POQ when the value of ∠PRQ is given 620.

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Step 1: Recall all the theorems of the circles
LINK: http://jwilson.coe.uga.edu/emt725/ReviewCir/ReviewCir.htm
Step 2: Identify the appropriate theorem by observing the given diagram.
Step 3: Apply the appropriate theorem and calculate the unknown value
NOTE: According to the theorem of chords of a circle, the angle subtended
at the center of the circle by an arc is twice the angle subtended by
it at any other point on the circumference.
EXAMPLE: ∠POQ is equal to two times of ∠PRQ.
Therefore, ∠POQ = 2 x ∠PRQ
⇒ ∠POQ = 2 x 620 = 1240