Question

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)?​

Answer 1

• 145°

Explanation:

ΔLMN is isosceles with angle L being 35°.

Angle measure of M and N is same:

• m∠M = m∠N = 1/2(180 - 35) = 72.5

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

• mLN = 2*72.5 = 145