In the diagram, O is the center of the circle QRS and ∠SQR = 28°. Find ∠ORS.
- \(56^0\)
- \(28^0\)
- \(76^0\)
-
\(62^0\)
The correct answer is: D
Explanation
∠SOR = 2 × 28° = 56° (angle at the centre is twice the angle at the circumference)
From ∆SOR
|OS| = |OR| (radii)
So, ∆SOR is isosceles.
∠ORS = \(\frac{180^0 - 56^0}{2} = \frac{124^0}{2}\) ( base angles of isosceles triangle are equal)
∴ ∠ORS = 62°