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Isosceles triangle

Source:

May 11, 2006
trigonometryAMCAIMEgeometrytrig identitiesLaw of SinesLaw of Cosines

Problem Statement

Triangle ABCABC is isosceles with AC=BCAC = BC and ∠ACB=106∘\angle ACB = 106^\circ. Point MM is in the interior of the triangle so that ∠MAC=7∘\angle MAC = 7^\circ and ∠MCA=23∘\angle MCA = 23^\circ. Find the number of degrees in ∠CMB\angle CMB.
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