# From the cyclic quadrilateral above find TVS

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• A. 50°
• B. 60°
• C. 70°
• D. 80°

D

## SOLUTION…

We’re going to be using a rule in circle geometry which states that angles on a common chord is absolutely the same.

<TVS and <TUS are standing on the same chord TS, and so are the same,

But <TUS = 80°,

Therefore, <TVS = 80°

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

1. Option A is incorrect.
2. Option B is incorrect.
3. C is incorrect.
4. D is the correct answer.

## KEY-POINTS…

• Angles on a common chord are the same.
• A chord is any straight line that touches two points on the circumference.
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/ culled from 2016 JAMB-UTME mathematics past question 42 /

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