In the figure below, G is the center of the circle, LK is a diameter, H lies on the circle, J lies outside the circle on LK, and JM is tangent to the circle at M. Which of the following angles or minor arcs has the greatest degree measure?

- arc LM
- arc MK
- ∠JMG
- ∠LHK
- ∠MJL

**The correct answer is A.**

Because measure of LM > ° 90 and measure of MK, ∠JMG, ∠LHK, ∠MJL are all less than or equal to 90°, arc LM has the greatest degree measure.

The tangent to a circle is always perpendicular to the radius drawn to the point of tangency. Because ΔMGJ is a right triangle

with right angle ∠JMG, the other angles in the triangle, ∠MJG and ∠MGJ, are acute.