
Doug C. answered 11/06/20
Math Tutor with Reputation to make difficult concepts understandable
If two sides of a triangle are congruent, then the angles opposite those sides are congruent. This is some times stated as "Base angles of an isosceles triangle are congruent (or have equal measures)." That means angle C must have a measure of 68 degrees, equal to measure of angle B.
Since the sum of the measures of the angles of a triangle equals 180, we haveL
68 + 68 + m∠A = 180. Solve that equation for measure of A.