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?

a) ∠a = ∠a' = 37° and ∠b = ∠b' = 69°
b) ∠a = ∠a' = 22° and ∠c = ∠c' = 42°
c) ∠b = ∠b' = 37° and ∠c = ∠c' = 33°
d) ∠b = ∠b' = 74° and ∠c = ∠c' = 66°

D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°

Step-by-step explanation:

Given,

We know,sum of all 3 angles of a triangle is °

Doing so ,

Simplifying all like terms,

Dividing both side by 12

Now we plug this in each angles and find their exact values.

°

°

°

Now substituting the in angles of dilated triangle.

°

°

°

We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.

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step-by-step explanation: