Question

For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2
which confirms that ΔABC∼ΔA'B'C by the AA criterion?

Answer 1

answer choices (please post these next time)

A) ∠A = ∠A' = 70° and ∠B = ∠B' = 60°

B) ∠A = ∠A' = 35° and ∠B = ∠B' = 30°

C) ∠B = ∠B' = 54° and ∠C = ∠C' = 40°

D) ∠A = ∠A' = 76° and ∠C = ∠C' = 53°

Answer 2

angles remain the same under dilation. so <A = <A'. <B = <B', <C = <C'

you can pick any one of these equations (ex. set <A = A') and solve for x. from there, plug that x value into <A, <B, and <C to determine which answer choice contains the correct angle measurements.