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Find the following arc measures

Find the following arc measures-example-1

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Answer:

m angleJ= 53, m angle JML = 63.5

Explanation:

As this is a circle, KJ and KL are radii, which are equal

If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).

That means, the angles J and L are equal (isosceles triangle thm).

Therefore- m angleJ = 180 - 127

m angleJ = 53

Join J and K, and L and K

Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.

Therefore- angle JML = (1/2)127
So, m angleJML = 63.5

User G Ganesh
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