Answer is 157.5 degrees
Step by step
First find the dilation or rate of change from pre image to image
3/8 to 9/16 = rate of change
Image / pre image
9/16 divided by 3/8
To divide fractions flip the divisor and multiply
9/16 x 8/3 = 72/48 = simplified = 3/2
So the same rate will apply to the angle pre image to image
3/2 x 105 = 157.5 degrees
