Pleeeaaassseee ! for δabc, ∠a = 4x - 4, ∠b = 6x - 1, and ∠c = 8x - 13. if δabc undergoes a dilation by a scale factor of 2 to create δa'b'c' with ∠a' = 51 - x, ∠b' = 4x + 21, and ∠c' = 6x + 9, which confirms that δabc∼δa'b'c by the aa criterion? a) ∠a = ∠a' = 44° and ∠b = ∠b' = 71° b) ∠a = ∠a' = 36° and ∠c = ∠c' = 67° c) ∠b = ∠b' = 59° and ∠c = ∠c' = 67° d) ∠b = ∠b' = 65° and ∠c = ∠c' = 75°

The angle in the dilated figure is the same as the original angle in each case, a fact that should be confirmed by the way the answer choices are shown.

∠A = ∠A'

... 4x -4 = 51 -x

... 5x = 55

... x = 11

∠A = 4·11 -4 = 40 . . . . . . doesn't match any offered choice

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∠B = ∠B'

... 6x -1 = 4x +21

... 2x = 22

... x = 11

... ∠B = 6·11 -1

... ∠B = ∠B' = 65 . . . . . matches selection D)

∠C = ∠C'

... 8x -13 = 6x +9

... 2x = 22

... x = 11

... ∠C = 6·11 +9 = 75

... ∠C = ∠C' = 75 . . . . . matches selection D)