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

Anonymous

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Anonymous

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Krishna

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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