In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?

Step-by-step explanation:

ΔLMN is isosceles with angle L being 35°.

Angle  measure of M and N is same:

Arc measure is twice the intercepting angle, since the angle is not central:

= 1/2(180-35)

= 72.5

so THE ARC is measuring is twice than the intercepting angle

hence the ans is 2×72.5 = 145

= 145° is the answer

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answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.