Answer:
Angle A is 77°
x = 3
AC = 13
Explanation:
Angles A, B and C MUST add up to 180°. If Angle C is 26°, then the sum of A and B and 26° = 180°. In other words, A+B = 180° - 26° = 154.
Since A and B are equal, A = B = 154°/2 = 77°
Since this triangle is isosceles, sides AC and BC are equal. Thus,
7x - 8 = 3x + 4, or
4x = 12. Then x = 3.
Since AC = 7x - 8, and x = 3, AC = 7(3) - 8 = 21 - 8 = 13