Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees. In circle O, what is m? 50° 55° 125° 250°

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Answer:

The answer for edg is 55

Step-by-step explanation:

Based on the information given about the chords and the circle, the measure of ∠MAJ is 55° (Option B). See the working for this solution below. See images attached as well.

What is the solution to measure of 'm' above?

To find ∠MAJ we can rely on ∠LAK because:

∠LAK = ∠MAJ

Thus,

∠MAJ = [∠KAJ + ∠LAM - 360°]/2
= (360 - 170 + 80)/2

= (360 - 250)/2
∠MAJ = 55° (Option B)

Learn more about Chords and circles at:
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