#### L, M, and N are points on the circumference of a circle, center O. \angle MON = 98°. What is the size of \angle MLN ?

Anonymous

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Krishna

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Step 1: Recall all the theorems of the circle.

LINK: http://jwilson.coe.uga.edu/emt725/ReviewCir/ReviewCir.htm

Step 2: Note down given values and examine the figure

Step 3: Identify the suitable theorem for the given question.

NOTE: The Angle at the Center Theorem tells us that

\angle MON = 2 * \angle MLN

Step 4: Use the theorem to find the unknown value.

EXAMPLE: \angle MON = 2 * \angle MLN

\angle MLN = \frac{1}{2} * \angle MON

\angle MLN = \frac{1}{2} * 98\degree

\angle MLN = 49\degree