Answer
Find the degree measure of arc HJ.
To prove
By using the formula
\(Angle\ formed\ outside = \frac{1}{2} (Difference\ of\ intercepted\ arcs)\)
i.e
\(\angle HOJ =\frac{1}{2}(98^{\circ} - measure\ of\ arc\ HJ. )\)
As ∠HOJ = 27°
Put in the above equation
\(27^{\circ}=\frac{1}{2}(98^{\circ} - measure\ of\ arc\ HJ. )\)
27° × 2 = 98° - measure of arc HJ
54° = 98° - measure of arc HJ.
measure of arc HJ = 98° - 54°
measure of arc HJ = 44°
Therefore the option (C) is correct.
