Answer:
The correct answer is x =9
Step-by-step explanation:
It is given that, the polygons are similar.
Then the ratio of corresponding sides are equal.
<u>To find the ratio of corresponding sides</u>
corresponding sides are
16 and 12 ratio = 12/16 = 3/4
32 and 24 ratio = 24/32 = 3/4
x - 1 and 6
y + 1 and 21
Therefore we can write 6/(x-1) = 3/4
<u>To find the value of x</u>
6/(x-1) = 3/4
24 = 3(x-1)
24 = 3x - 3
3x = 27
x = 27/3
x = 9
Therefore the value of x = 9