For ΔABC, ∠A = 3x - 8, ∠B = 5x - 6, and ∠C = 4x + 2. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A' = 2x + 8, ∠B' = 90 - x, and ∠C' = 5x - 14, which confirms that ΔABC∼ΔA'B'C by the AA criterion?
Accepted Solution
A:
We all know that a triangle has 180 degrees. 3x-8+5x-6+4x+2=180 12x-12=180 12x=180+12 12x=192 x=16.