##### Admin

**In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find the value of <TOR.**

**A. 40ᵒ****B. 130ᵒ****C. 100ᵒ****D. 50ᵒ**

**QUICK ANSWER…**

**C**

**SOLUTION****… **** **

**There is a rule in circle geometry which states that angle at the center is twice the angle at the circumference provided the two angles are based on a common chord.**

**In the diagram above, <TOR and <TUR are based on the same chord TR, therefore;**

**<TOR = 2 <TUR = 2 ****×**** 50 = 100**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is incorrect.****C is correct.****D is not the correct answer.**

**QUICK TIPS…**

**You may please note the****se/this****:**

**Angle at the center of a circle is twice the angle at any point on the circumference provided the two angles are based on the same chord.**

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**/ culled from 2015 JAMB-UTME mathematics past question 43 /**

##### In the diagram above O is the center of the circle. If <TUR is 50ᵒ, find... » QuizTablet

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