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allochka39001 [22]
3 years ago
13

Help, please! ASAP!!!​

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

Angle A is 77°

x = 3

AC = 13

Step-by-step 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

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