Question

In circle O Lp congruent LK find the measurement of the major arc PNK

Answer 1

248 degrees

Explanation:

Since segment PL is congruent to segment LK, their corresponding arcs are also congruent. Knowing this, we can set 11x - 10 and 9x + 2 equal to each other:

11x - 10 = 9x + 2

2x = 12

x = 6.

So, plugging in 6 into the value of x for both minor arcs gives us that arc PMK is 112 degrees. Since the whole circle is 360 degrees, major arc PNK is 360 - 112 = 248 degrees.

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